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Finding the Fourth Proportional to 158.55, 218.85 and 106.08

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Solution

The fourth proportional to 158.55, 218.85 and 106.08 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.55 : 218.85 = 106.08 : x
  2. Step 2: Convert to fraction form
    158.55/218.85 = 106.08/x
  3. Step 3: Cross multiply
    158.55x = 218.85 × 106.08
  4. Step 4: Simplify right side
    158.55x = 23,215.61
  5. Step 5: Solve for x
    x = 23,215.61/158.55
  6. Step 6: Final answer
    x = 146.42

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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.