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Finding the Fourth Proportional to 75, 112.47 and 42.48

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Solution

The fourth proportional to 75, 112.47 and 42.48 is: 63.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 112.47 = 42.48 : x
  2. Step 2: Convert to fraction form
    75/112.47 = 42.48/x
  3. Step 3: Cross multiply
    75x = 112.47 × 42.48
  4. Step 4: Simplify right side
    75x = 4,777.73
  5. Step 5: Solve for x
    x = 4,777.73/75
  6. Step 6: Final answer
    x = 63.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.