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Finding the Fourth Proportional to 159.52, 220.28 and 104.28

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Solution

The fourth proportional to 159.52, 220.28 and 104.28 is: 144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.52 : 220.28 = 104.28 : x
  2. Step 2: Convert to fraction form
    159.52/220.28 = 104.28/x
  3. Step 3: Cross multiply
    159.52x = 220.28 × 104.28
  4. Step 4: Simplify right side
    159.52x = 22,970.80
  5. Step 5: Solve for x
    x = 22,970.80/159.52
  6. Step 6: Final answer
    x = 144.00

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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.