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Finding the Fourth Proportional to 115.19, 159.71 and 109.04

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Solution

The fourth proportional to 115.19, 159.71 and 109.04 is: 151.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.19 : 159.71 = 109.04 : x
  2. Step 2: Convert to fraction form
    115.19/159.71 = 109.04/x
  3. Step 3: Cross multiply
    115.19x = 159.71 × 109.04
  4. Step 4: Simplify right side
    115.19x = 17,414.78
  5. Step 5: Solve for x
    x = 17,414.78/115.19
  6. Step 6: Final answer
    x = 151.18

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.