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Finding the Fourth Proportional to 91.47, 137.09 and 77.71

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Solution

The fourth proportional to 91.47, 137.09 and 77.71 is: 116.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.47 : 137.09 = 77.71 : x
  2. Step 2: Convert to fraction form
    91.47/137.09 = 77.71/x
  3. Step 3: Cross multiply
    91.47x = 137.09 × 77.71
  4. Step 4: Simplify right side
    91.47x = 10,653.26
  5. Step 5: Solve for x
    x = 10,653.26/91.47
  6. Step 6: Final answer
    x = 116.47

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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.