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Finding the Fourth Proportional to 159.53, 219.92 and 104.26

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Solution

The fourth proportional to 159.53, 219.92 and 104.26 is: 143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.53 : 219.92 = 104.26 : x
  2. Step 2: Convert to fraction form
    159.53/219.92 = 104.26/x
  3. Step 3: Cross multiply
    159.53x = 219.92 × 104.26
  4. Step 4: Simplify right side
    159.53x = 22,927.76
  5. Step 5: Solve for x
    x = 22,927.76/159.53
  6. Step 6: Final answer
    x = 143.72

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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.