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Finding the Fourth Proportional to 75.66, 113.42 and 32.86

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Solution

The fourth proportional to 75.66, 113.42 and 32.86 is: 49.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.66 : 113.42 = 32.86 : x
  2. Step 2: Convert to fraction form
    75.66/113.42 = 32.86/x
  3. Step 3: Cross multiply
    75.66x = 113.42 × 32.86
  4. Step 4: Simplify right side
    75.66x = 3,726.98
  5. Step 5: Solve for x
    x = 3,726.98/75.66
  6. Step 6: Final answer
    x = 49.26

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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.