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Finding the Fourth Proportional to 115.82, 159.17 and 112.58

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Solution

The fourth proportional to 115.82, 159.17 and 112.58 is: 154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.82 : 159.17 = 112.58 : x
  2. Step 2: Convert to fraction form
    115.82/159.17 = 112.58/x
  3. Step 3: Cross multiply
    115.82x = 159.17 × 112.58
  4. Step 4: Simplify right side
    115.82x = 17,918.84
  5. Step 5: Solve for x
    x = 17,918.84/115.82
  6. Step 6: Final answer
    x = 154.72

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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.