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Finding the Fourth Proportional to 102.60, 140.13 and 101.52

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Solution

The fourth proportional to 102.60, 140.13 and 101.52 is: 138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.60 : 140.13 = 101.52 : x
  2. Step 2: Convert to fraction form
    102.60/140.13 = 101.52/x
  3. Step 3: Cross multiply
    102.60x = 140.13 × 101.52
  4. Step 4: Simplify right side
    102.60x = 14,226.00
  5. Step 5: Solve for x
    x = 14,226.00/102.60
  6. Step 6: Final answer
    x = 138.65

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Why These Related Problems?

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