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Finding the Fourth Proportional to 95.01, 142.23 and 82.71

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Solution

The fourth proportional to 95.01, 142.23 and 82.71 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.01 : 142.23 = 82.71 : x
  2. Step 2: Convert to fraction form
    95.01/142.23 = 82.71/x
  3. Step 3: Cross multiply
    95.01x = 142.23 × 82.71
  4. Step 4: Simplify right side
    95.01x = 11,763.84
  5. Step 5: Solve for x
    x = 11,763.84/95.01
  6. Step 6: Final answer
    x = 123.82

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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.