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Finding the Fourth Proportional to 116.29, 159.59 and 115.89

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Solution

The fourth proportional to 116.29, 159.59 and 115.89 is: 159.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.29 : 159.59 = 115.89 : x
  2. Step 2: Convert to fraction form
    116.29/159.59 = 115.89/x
  3. Step 3: Cross multiply
    116.29x = 159.59 × 115.89
  4. Step 4: Simplify right side
    116.29x = 18,494.89
  5. Step 5: Solve for x
    x = 18,494.89/116.29
  6. Step 6: Final answer
    x = 159.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.