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Finding the Fourth Proportional to 158.46, 237.70 and 77.36

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Solution

The fourth proportional to 158.46, 237.70 and 77.36 is: 116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.46 : 237.70 = 77.36 : x
  2. Step 2: Convert to fraction form
    158.46/237.70 = 77.36/x
  3. Step 3: Cross multiply
    158.46x = 237.70 × 77.36
  4. Step 4: Simplify right side
    158.46x = 18,388.47
  5. Step 5: Solve for x
    x = 18,388.47/158.46
  6. Step 6: Final answer
    x = 116.04

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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.