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Finding the Fourth Proportional to 159.60, 220.08 and 104.32

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Solution

The fourth proportional to 159.60, 220.08 and 104.32 is: 143.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.60 : 220.08 = 104.32 : x
  2. Step 2: Convert to fraction form
    159.60/220.08 = 104.32/x
  3. Step 3: Cross multiply
    159.60x = 220.08 × 104.32
  4. Step 4: Simplify right side
    159.60x = 22,958.75
  5. Step 5: Solve for x
    x = 22,958.75/159.60
  6. Step 6: Final answer
    x = 143.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.