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Finding the Fourth Proportional to 91.77, 138.17 and 67.92

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Solution

The fourth proportional to 91.77, 138.17 and 67.92 is: 102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.77 : 138.17 = 67.92 : x
  2. Step 2: Convert to fraction form
    91.77/138.17 = 67.92/x
  3. Step 3: Cross multiply
    91.77x = 138.17 × 67.92
  4. Step 4: Simplify right side
    91.77x = 9,384.17
  5. Step 5: Solve for x
    x = 9,384.17/91.77
  6. Step 6: Final answer
    x = 102.26

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