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Finding the Fourth Proportional to 75.14, 112.66 and 54.86

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Solution

The fourth proportional to 75.14, 112.66 and 54.86 is: 82.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.14 : 112.66 = 54.86 : x
  2. Step 2: Convert to fraction form
    75.14/112.66 = 54.86/x
  3. Step 3: Cross multiply
    75.14x = 112.66 × 54.86
  4. Step 4: Simplify right side
    75.14x = 6,180.53
  5. Step 5: Solve for x
    x = 6,180.53/75.14
  6. Step 6: Final answer
    x = 82.25

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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.