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Finding the Fourth Proportional to 115.36, 159.23 and 71.12

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Solution

The fourth proportional to 115.36, 159.23 and 71.12 is: 98.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.36 : 159.23 = 71.12 : x
  2. Step 2: Convert to fraction form
    115.36/159.23 = 71.12/x
  3. Step 3: Cross multiply
    115.36x = 159.23 × 71.12
  4. Step 4: Simplify right side
    115.36x = 11,324.08
  5. Step 5: Solve for x
    x = 11,324.08/115.36
  6. Step 6: Final answer
    x = 98.17

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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.