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Finding the Fourth Proportional to 99.12, 136.67 and 82.74

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Solution

The fourth proportional to 99.12, 136.67 and 82.74 is: 114.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.12 : 136.67 = 82.74 : x
  2. Step 2: Convert to fraction form
    99.12/136.67 = 82.74/x
  3. Step 3: Cross multiply
    99.12x = 136.67 × 82.74
  4. Step 4: Simplify right side
    99.12x = 11,307.66
  5. Step 5: Solve for x
    x = 11,307.66/99.12
  6. Step 6: Final answer
    x = 114.08

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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.