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Finding the Fourth Proportional to 142.82, 214.26 and 56.16

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Solution

The fourth proportional to 142.82, 214.26 and 56.16 is: 84.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.82 : 214.26 = 56.16 : x
  2. Step 2: Convert to fraction form
    142.82/214.26 = 56.16/x
  3. Step 3: Cross multiply
    142.82x = 214.26 × 56.16
  4. Step 4: Simplify right side
    142.82x = 12,032.84
  5. Step 5: Solve for x
    x = 12,032.84/142.82
  6. Step 6: Final answer
    x = 84.25

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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.