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Finding the Fourth Proportional to 99.03, 136.56 and 77.16

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Solution

The fourth proportional to 99.03, 136.56 and 77.16 is: 106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.03 : 136.56 = 77.16 : x
  2. Step 2: Convert to fraction form
    99.03/136.56 = 77.16/x
  3. Step 3: Cross multiply
    99.03x = 136.56 × 77.16
  4. Step 4: Simplify right side
    99.03x = 10,536.97
  5. Step 5: Solve for x
    x = 10,536.97/99.03
  6. Step 6: Final answer
    x = 106.40

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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.