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Finding the Fourth Proportional to 158.96, 219.42 and 93.48

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Solution

The fourth proportional to 158.96, 219.42 and 93.48 is: 129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.96 : 219.42 = 93.48 : x
  2. Step 2: Convert to fraction form
    158.96/219.42 = 93.48/x
  3. Step 3: Cross multiply
    158.96x = 219.42 × 93.48
  4. Step 4: Simplify right side
    158.96x = 20,511.38
  5. Step 5: Solve for x
    x = 20,511.38/158.96
  6. Step 6: Final answer
    x = 129.04

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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.