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Finding the Fourth Proportional to 91.13, 136.49 and 65.41

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Solution

The fourth proportional to 91.13, 136.49 and 65.41 is: 97.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.13 : 136.49 = 65.41 : x
  2. Step 2: Convert to fraction form
    91.13/136.49 = 65.41/x
  3. Step 3: Cross multiply
    91.13x = 136.49 × 65.41
  4. Step 4: Simplify right side
    91.13x = 8,927.14
  5. Step 5: Solve for x
    x = 8,927.14/91.13
  6. Step 6: Final answer
    x = 97.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.