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Finding the Fourth Proportional to 101.90, 140.42 and 72.74

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Solution

The fourth proportional to 101.90, 140.42 and 72.74 is: 100.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.90 : 140.42 = 72.74 : x
  2. Step 2: Convert to fraction form
    101.90/140.42 = 72.74/x
  3. Step 3: Cross multiply
    101.90x = 140.42 × 72.74
  4. Step 4: Simplify right side
    101.90x = 10,214.15
  5. Step 5: Solve for x
    x = 10,214.15/101.90
  6. Step 6: Final answer
    x = 100.24

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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.