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Finding the Fourth Proportional to 159.24, 219.65 and 93.68

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Solution

The fourth proportional to 159.24, 219.65 and 93.68 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.24 : 219.65 = 93.68 : x
  2. Step 2: Convert to fraction form
    159.24/219.65 = 93.68/x
  3. Step 3: Cross multiply
    159.24x = 219.65 × 93.68
  4. Step 4: Simplify right side
    159.24x = 20,575.25
  5. Step 5: Solve for x
    x = 20,575.25/159.24
  6. Step 6: Final answer
    x = 129.21

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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.