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Finding the Fourth Proportional to 95.91, 143.89 and 53.13

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Solution

The fourth proportional to 95.91, 143.89 and 53.13 is: 79.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.91 : 143.89 = 53.13 : x
  2. Step 2: Convert to fraction form
    95.91/143.89 = 53.13/x
  3. Step 3: Cross multiply
    95.91x = 143.89 × 53.13
  4. Step 4: Simplify right side
    95.91x = 7,644.88
  5. Step 5: Solve for x
    x = 7,644.88/95.91
  6. Step 6: Final answer
    x = 79.71

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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.