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Finding the Fourth Proportional to 75.57, 112.82 and 69.08

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Solution

The fourth proportional to 75.57, 112.82 and 69.08 is: 103.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.57 : 112.82 = 69.08 : x
  2. Step 2: Convert to fraction form
    75.57/112.82 = 69.08/x
  3. Step 3: Cross multiply
    75.57x = 112.82 × 69.08
  4. Step 4: Simplify right side
    75.57x = 7,793.43
  5. Step 5: Solve for x
    x = 7,793.43/75.57
  6. Step 6: Final answer
    x = 103.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.