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Finding the Fourth Proportional to 158.17, 218.23 and 106.42

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Solution

The fourth proportional to 158.17, 218.23 and 106.42 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.17 : 218.23 = 106.42 : x
  2. Step 2: Convert to fraction form
    158.17/218.23 = 106.42/x
  3. Step 3: Cross multiply
    158.17x = 218.23 × 106.42
  4. Step 4: Simplify right side
    158.17x = 23,224.04
  5. Step 5: Solve for x
    x = 23,224.04/158.17
  6. Step 6: Final answer
    x = 146.83

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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.