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Finding the Fourth Proportional to 75.61, 104.34 and 42.86

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Solution

The fourth proportional to 75.61, 104.34 and 42.86 is: 59.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.61 : 104.34 = 42.86 : x
  2. Step 2: Convert to fraction form
    75.61/104.34 = 42.86/x
  3. Step 3: Cross multiply
    75.61x = 104.34 × 42.86
  4. Step 4: Simplify right side
    75.61x = 4,472.27
  5. Step 5: Solve for x
    x = 4,472.27/75.61
  6. Step 6: Final answer
    x = 59.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.