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Finding the Fourth Proportional to 99.72, 137.52 and 97.20

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Solution

The fourth proportional to 99.72, 137.52 and 97.20 is: 134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.72 : 137.52 = 97.20 : x
  2. Step 2: Convert to fraction form
    99.72/137.52 = 97.20/x
  3. Step 3: Cross multiply
    99.72x = 137.52 × 97.20
  4. Step 4: Simplify right side
    99.72x = 13,366.94
  5. Step 5: Solve for x
    x = 13,366.94/99.72
  6. Step 6: Final answer
    x = 134.04

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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.