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Finding the Fourth Proportional to 95.37, 142.37 and 82.41

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Solution

The fourth proportional to 95.37, 142.37 and 82.41 is: 123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.37 : 142.37 = 82.41 : x
  2. Step 2: Convert to fraction form
    95.37/142.37 = 82.41/x
  3. Step 3: Cross multiply
    95.37x = 142.37 × 82.41
  4. Step 4: Simplify right side
    95.37x = 11,732.71
  5. Step 5: Solve for x
    x = 11,732.71/95.37
  6. Step 6: Final answer
    x = 123.02

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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.