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Finding the Fourth Proportional to 138.47, 191.04 and 91.22

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Solution

The fourth proportional to 138.47, 191.04 and 91.22 is: 125.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.47 : 191.04 = 91.22 : x
  2. Step 2: Convert to fraction form
    138.47/191.04 = 91.22/x
  3. Step 3: Cross multiply
    138.47x = 191.04 × 91.22
  4. Step 4: Simplify right side
    138.47x = 17,426.67
  5. Step 5: Solve for x
    x = 17,426.67/138.47
  6. Step 6: Final answer
    x = 125.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.