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Finding the Fourth Proportional to 115.57, 159.50 and 86.41

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Solution

The fourth proportional to 115.57, 159.50 and 86.41 is: 119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.57 : 159.50 = 86.41 : x
  2. Step 2: Convert to fraction form
    115.57/159.50 = 86.41/x
  3. Step 3: Cross multiply
    115.57x = 159.50 × 86.41
  4. Step 4: Simplify right side
    115.57x = 13,782.40
  5. Step 5: Solve for x
    x = 13,782.40/115.57
  6. Step 6: Final answer
    x = 119.26

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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.