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Finding the Fourth Proportional to 158.27, 237.29 and 77.06

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Solution

The fourth proportional to 158.27, 237.29 and 77.06 is: 115.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.27 : 237.29 = 77.06 : x
  2. Step 2: Convert to fraction form
    158.27/237.29 = 77.06/x
  3. Step 3: Cross multiply
    158.27x = 237.29 × 77.06
  4. Step 4: Simplify right side
    158.27x = 18,284.00
  5. Step 5: Solve for x
    x = 18,284.00/158.27
  6. Step 6: Final answer
    x = 115.53

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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.