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Finding the Fourth Proportional to 101.39, 152.61 and 91.97

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Solution

The fourth proportional to 101.39, 152.61 and 91.97 is: 138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.39 : 152.61 = 91.97 : x
  2. Step 2: Convert to fraction form
    101.39/152.61 = 91.97/x
  3. Step 3: Cross multiply
    101.39x = 152.61 × 91.97
  4. Step 4: Simplify right side
    101.39x = 14,035.01
  5. Step 5: Solve for x
    x = 14,035.01/101.39
  6. Step 6: Final answer
    x = 138.43

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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.