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Finding the Fourth Proportional to 112.60, 154.25 and 102.88

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Solution

The fourth proportional to 112.60, 154.25 and 102.88 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.60 : 154.25 = 102.88 : x
  2. Step 2: Convert to fraction form
    112.60/154.25 = 102.88/x
  3. Step 3: Cross multiply
    112.60x = 154.25 × 102.88
  4. Step 4: Simplify right side
    112.60x = 15,869.24
  5. Step 5: Solve for x
    x = 15,869.24/112.60
  6. Step 6: Final answer
    x = 140.93

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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.