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Finding the Fourth Proportional to 91.48, 136.42 and 85.33

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Solution

The fourth proportional to 91.48, 136.42 and 85.33 is: 127.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.48 : 136.42 = 85.33 : x
  2. Step 2: Convert to fraction form
    91.48/136.42 = 85.33/x
  3. Step 3: Cross multiply
    91.48x = 136.42 × 85.33
  4. Step 4: Simplify right side
    91.48x = 11,640.29
  5. Step 5: Solve for x
    x = 11,640.29/91.48
  6. Step 6: Final answer
    x = 127.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.