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Finding the Fourth Proportional to 91.41, 136.47 and 77.69

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Solution

The fourth proportional to 91.41, 136.47 and 77.69 is: 115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.41 : 136.47 = 77.69 : x
  2. Step 2: Convert to fraction form
    91.41/136.47 = 77.69/x
  3. Step 3: Cross multiply
    91.41x = 136.47 × 77.69
  4. Step 4: Simplify right side
    91.41x = 10,601.67
  5. Step 5: Solve for x
    x = 10,601.67/91.41
  6. Step 6: Final answer
    x = 115.98

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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.