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Finding the Fourth Proportional to 113.01, 155.85 and 75.75

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Solution

The fourth proportional to 113.01, 155.85 and 75.75 is: 104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.01 : 155.85 = 75.75 : x
  2. Step 2: Convert to fraction form
    113.01/155.85 = 75.75/x
  3. Step 3: Cross multiply
    113.01x = 155.85 × 75.75
  4. Step 4: Simplify right side
    113.01x = 11,805.86
  5. Step 5: Solve for x
    x = 11,805.86/113.01
  6. Step 6: Final answer
    x = 104.47

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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.