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Finding the Fourth Proportional to 142.77, 214.09 and 45.24

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Solution

The fourth proportional to 142.77, 214.09 and 45.24 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.77 : 214.09 = 45.24 : x
  2. Step 2: Convert to fraction form
    142.77/214.09 = 45.24/x
  3. Step 3: Cross multiply
    142.77x = 214.09 × 45.24
  4. Step 4: Simplify right side
    142.77x = 9,685.21
  5. Step 5: Solve for x
    x = 9,685.21/142.77
  6. Step 6: Final answer
    x = 67.84

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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.