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Finding the Fourth Proportional to 110.85, 152.95 and 75.42

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Solution

The fourth proportional to 110.85, 152.95 and 75.42 is: 104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.85 : 152.95 = 75.42 : x
  2. Step 2: Convert to fraction form
    110.85/152.95 = 75.42/x
  3. Step 3: Cross multiply
    110.85x = 152.95 × 75.42
  4. Step 4: Simplify right side
    110.85x = 11,535.15
  5. Step 5: Solve for x
    x = 11,535.15/110.85
  6. Step 6: Final answer
    x = 104.06

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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.