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Finding the Fourth Proportional to 142.84, 214.05 and 112.25

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Solution

The fourth proportional to 142.84, 214.05 and 112.25 is: 168.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.84 : 214.05 = 112.25 : x
  2. Step 2: Convert to fraction form
    142.84/214.05 = 112.25/x
  3. Step 3: Cross multiply
    142.84x = 214.05 × 112.25
  4. Step 4: Simplify right side
    142.84x = 24,027.11
  5. Step 5: Solve for x
    x = 24,027.11/142.84
  6. Step 6: Final answer
    x = 168.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.