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Finding the Fourth Proportional to 75.86, 113.85 and 55.47

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Solution

The fourth proportional to 75.86, 113.85 and 55.47 is: 83.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.86 : 113.85 = 55.47 : x
  2. Step 2: Convert to fraction form
    75.86/113.85 = 55.47/x
  3. Step 3: Cross multiply
    75.86x = 113.85 × 55.47
  4. Step 4: Simplify right side
    75.86x = 6,315.26
  5. Step 5: Solve for x
    x = 6,315.26/75.86
  6. Step 6: Final answer
    x = 83.25

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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.