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Finding the Fourth Proportional to 142.47, 196.61 and 84.24

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Solution

The fourth proportional to 142.47, 196.61 and 84.24 is: 116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.47 : 196.61 = 84.24 : x
  2. Step 2: Convert to fraction form
    142.47/196.61 = 84.24/x
  3. Step 3: Cross multiply
    142.47x = 196.61 × 84.24
  4. Step 4: Simplify right side
    142.47x = 16,562.01
  5. Step 5: Solve for x
    x = 16,562.01/142.47
  6. Step 6: Final answer
    x = 116.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.