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Finding the Fourth Proportional to 75.46, 104.13 and 42.71

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Solution

The fourth proportional to 75.46, 104.13 and 42.71 is: 58.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.46 : 104.13 = 42.71 : x
  2. Step 2: Convert to fraction form
    75.46/104.13 = 42.71/x
  3. Step 3: Cross multiply
    75.46x = 104.13 × 42.71
  4. Step 4: Simplify right side
    75.46x = 4,447.39
  5. Step 5: Solve for x
    x = 4,447.39/75.46
  6. Step 6: Final answer
    x = 58.94

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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.