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Finding the Fourth Proportional to 158.70, 218.85 and 106.24

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Solution

The fourth proportional to 158.70, 218.85 and 106.24 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.70 : 218.85 = 106.24 : x
  2. Step 2: Convert to fraction form
    158.70/218.85 = 106.24/x
  3. Step 3: Cross multiply
    158.70x = 218.85 × 106.24
  4. Step 4: Simplify right side
    158.70x = 23,250.62
  5. Step 5: Solve for x
    x = 23,250.62/158.70
  6. Step 6: Final answer
    x = 146.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.