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Finding the Fourth Proportional to 99.07, 136.72 and 82.66

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Solution

The fourth proportional to 99.07, 136.72 and 82.66 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.07 : 136.72 = 82.66 : x
  2. Step 2: Convert to fraction form
    99.07/136.72 = 82.66/x
  3. Step 3: Cross multiply
    99.07x = 136.72 × 82.66
  4. Step 4: Simplify right side
    99.07x = 11,301.28
  5. Step 5: Solve for x
    x = 11,301.28/99.07
  6. Step 6: Final answer
    x = 114.07

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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.