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Finding the Fourth Proportional to 96.61, 133.12 and 72.02

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Solution

The fourth proportional to 96.61, 133.12 and 72.02 is: 99.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.61 : 133.12 = 72.02 : x
  2. Step 2: Convert to fraction form
    96.61/133.12 = 72.02/x
  3. Step 3: Cross multiply
    96.61x = 133.12 × 72.02
  4. Step 4: Simplify right side
    96.61x = 9,587.30
  5. Step 5: Solve for x
    x = 9,587.30/96.61
  6. Step 6: Final answer
    x = 99.24

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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.