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Finding the Fourth Proportional to 139.53, 192.50 and 81.31

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Solution

The fourth proportional to 139.53, 192.50 and 81.31 is: 112.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.53 : 192.50 = 81.31 : x
  2. Step 2: Convert to fraction form
    139.53/192.50 = 81.31/x
  3. Step 3: Cross multiply
    139.53x = 192.50 × 81.31
  4. Step 4: Simplify right side
    139.53x = 15,652.18
  5. Step 5: Solve for x
    x = 15,652.18/139.53
  6. Step 6: Final answer
    x = 112.18

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Why These Related Problems?

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