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Finding the Fourth Proportional to 91.60, 137.97 and 77.47

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Solution

The fourth proportional to 91.60, 137.97 and 77.47 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.60 : 137.97 = 77.47 : x
  2. Step 2: Convert to fraction form
    91.60/137.97 = 77.47/x
  3. Step 3: Cross multiply
    91.60x = 137.97 × 77.47
  4. Step 4: Simplify right side
    91.60x = 10,688.97
  5. Step 5: Solve for x
    x = 10,688.97/91.60
  6. Step 6: Final answer
    x = 116.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.