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Finding the Fourth Proportional to 142.16, 213.22 and 39.43

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Solution

The fourth proportional to 142.16, 213.22 and 39.43 is: 59.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.16 : 213.22 = 39.43 : x
  2. Step 2: Convert to fraction form
    142.16/213.22 = 39.43/x
  3. Step 3: Cross multiply
    142.16x = 213.22 × 39.43
  4. Step 4: Simplify right side
    142.16x = 8,406.00
  5. Step 5: Solve for x
    x = 8,406.00/142.16
  6. Step 6: Final answer
    x = 59.13

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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.