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Finding the Fourth Proportional to 158.14, 237.22 and 97.24

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Solution

The fourth proportional to 158.14, 237.22 and 97.24 is: 145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.14 : 237.22 = 97.24 : x
  2. Step 2: Convert to fraction form
    158.14/237.22 = 97.24/x
  3. Step 3: Cross multiply
    158.14x = 237.22 × 97.24
  4. Step 4: Simplify right side
    158.14x = 23,067.27
  5. Step 5: Solve for x
    x = 23,067.27/158.14
  6. Step 6: Final answer
    x = 145.87

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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.