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Finding the Fourth Proportional to 102.53, 140.52 and 101.31

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Solution

The fourth proportional to 102.53, 140.52 and 101.31 is: 138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 140.52 = 101.31 : x
  2. Step 2: Convert to fraction form
    102.53/140.52 = 101.31/x
  3. Step 3: Cross multiply
    102.53x = 140.52 × 101.31
  4. Step 4: Simplify right side
    102.53x = 14,236.08
  5. Step 5: Solve for x
    x = 14,236.08/102.53
  6. Step 6: Final answer
    x = 138.85

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.