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Finding the Fourth Proportional to 99.76, 136.77 and 97.04

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Solution

The fourth proportional to 99.76, 136.77 and 97.04 is: 133.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.76 : 136.77 = 97.04 : x
  2. Step 2: Convert to fraction form
    99.76/136.77 = 97.04/x
  3. Step 3: Cross multiply
    99.76x = 136.77 × 97.04
  4. Step 4: Simplify right side
    99.76x = 13,272.16
  5. Step 5: Solve for x
    x = 13,272.16/99.76
  6. Step 6: Final answer
    x = 133.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.