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Finding the Fourth Proportional to 95.15, 142.11 and 83

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Solution

The fourth proportional to 95.15, 142.11 and 83 is: 123.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.15 : 142.11 = 83 : x
  2. Step 2: Convert to fraction form
    95.15/142.11 = 83/x
  3. Step 3: Cross multiply
    95.15x = 142.11 × 83
  4. Step 4: Simplify right side
    95.15x = 11,794.72
  5. Step 5: Solve for x
    x = 11,794.72/95.15
  6. Step 6: Final answer
    x = 123.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.