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Finding the Fourth Proportional to 91.18, 125.67 and 72.82

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Solution

The fourth proportional to 91.18, 125.67 and 72.82 is: 100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.18 : 125.67 = 72.82 : x
  2. Step 2: Convert to fraction form
    91.18/125.67 = 72.82/x
  3. Step 3: Cross multiply
    91.18x = 125.67 × 72.82
  4. Step 4: Simplify right side
    91.18x = 9,151.29
  5. Step 5: Solve for x
    x = 9,151.29/91.18
  6. Step 6: Final answer
    x = 100.37

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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.