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Finding the Fourth Proportional to 106.85, 147.47 and 75.75

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Solution

The fourth proportional to 106.85, 147.47 and 75.75 is: 104.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.85 : 147.47 = 75.75 : x
  2. Step 2: Convert to fraction form
    106.85/147.47 = 75.75/x
  3. Step 3: Cross multiply
    106.85x = 147.47 × 75.75
  4. Step 4: Simplify right side
    106.85x = 11,170.47
  5. Step 5: Solve for x
    x = 11,170.47/106.85
  6. Step 6: Final answer
    x = 104.55

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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.