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Finding the Fourth Proportional to 142.71, 196.63 and 96.04

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Solution

The fourth proportional to 142.71, 196.63 and 96.04 is: 132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 196.63 = 96.04 : x
  2. Step 2: Convert to fraction form
    142.71/196.63 = 96.04/x
  3. Step 3: Cross multiply
    142.71x = 196.63 × 96.04
  4. Step 4: Simplify right side
    142.71x = 18,883.24
  5. Step 5: Solve for x
    x = 18,883.24/142.71
  6. Step 6: Final answer
    x = 132.32

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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.