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Finding the Fourth Proportional to 101.47, 140.12 and 97.71

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Solution

The fourth proportional to 101.47, 140.12 and 97.71 is: 134.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.47 : 140.12 = 97.71 : x
  2. Step 2: Convert to fraction form
    101.47/140.12 = 97.71/x
  3. Step 3: Cross multiply
    101.47x = 140.12 × 97.71
  4. Step 4: Simplify right side
    101.47x = 13,690.42
  5. Step 5: Solve for x
    x = 13,690.42/101.47
  6. Step 6: Final answer
    x = 134.93

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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.