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Finding the Fourth Proportional to 95.91, 143.70 and 75.66

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Solution

The fourth proportional to 95.91, 143.70 and 75.66 is: 113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.91 : 143.70 = 75.66 : x
  2. Step 2: Convert to fraction form
    95.91/143.70 = 75.66/x
  3. Step 3: Cross multiply
    95.91x = 143.70 × 75.66
  4. Step 4: Simplify right side
    95.91x = 10,872.34
  5. Step 5: Solve for x
    x = 10,872.34/95.91
  6. Step 6: Final answer
    x = 113.36

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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.