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Finding the Fourth Proportional to 159.13, 219.62 and 93.64

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Solution

The fourth proportional to 159.13, 219.62 and 93.64 is: 129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.13 : 219.62 = 93.64 : x
  2. Step 2: Convert to fraction form
    159.13/219.62 = 93.64/x
  3. Step 3: Cross multiply
    159.13x = 219.62 × 93.64
  4. Step 4: Simplify right side
    159.13x = 20,564.90
  5. Step 5: Solve for x
    x = 20,564.90/159.13
  6. Step 6: Final answer
    x = 129.24

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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.