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Finding the Fourth Proportional to 99.41, 136.71 and 82.66

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Solution

The fourth proportional to 99.41, 136.71 and 82.66 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.41 : 136.71 = 82.66 : x
  2. Step 2: Convert to fraction form
    99.41/136.71 = 82.66/x
  3. Step 3: Cross multiply
    99.41x = 136.71 × 82.66
  4. Step 4: Simplify right side
    99.41x = 11,300.45
  5. Step 5: Solve for x
    x = 11,300.45/99.41
  6. Step 6: Final answer
    x = 113.68

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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.