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Finding the Fourth Proportional to 95.68, 143.25 and 76.24

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Solution

The fourth proportional to 95.68, 143.25 and 76.24 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.68 : 143.25 = 76.24 : x
  2. Step 2: Convert to fraction form
    95.68/143.25 = 76.24/x
  3. Step 3: Cross multiply
    95.68x = 143.25 × 76.24
  4. Step 4: Simplify right side
    95.68x = 10,921.38
  5. Step 5: Solve for x
    x = 10,921.38/95.68
  6. Step 6: Final answer
    x = 114.14

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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.