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Finding the Fourth Proportional to 158.28, 237.12 and 77.02

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Solution

The fourth proportional to 158.28, 237.12 and 77.02 is: 115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.28 : 237.12 = 77.02 : x
  2. Step 2: Convert to fraction form
    158.28/237.12 = 77.02/x
  3. Step 3: Cross multiply
    158.28x = 237.12 × 77.02
  4. Step 4: Simplify right side
    158.28x = 18,262.98
  5. Step 5: Solve for x
    x = 18,262.98/158.28
  6. Step 6: Final answer
    x = 115.38

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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.