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Finding the Fourth Proportional to 158.55, 218.87 and 111.96

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Solution

The fourth proportional to 158.55, 218.87 and 111.96 is: 154.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.55 : 218.87 = 111.96 : x
  2. Step 2: Convert to fraction form
    158.55/218.87 = 111.96/x
  3. Step 3: Cross multiply
    158.55x = 218.87 × 111.96
  4. Step 4: Simplify right side
    158.55x = 24,504.13
  5. Step 5: Solve for x
    x = 24,504.13/158.55
  6. Step 6: Final answer
    x = 154.55

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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.