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Finding the Fourth Proportional to 115.26, 159.00 and 89.03

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Solution

The fourth proportional to 115.26, 159.00 and 89.03 is: 122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.26 : 159.00 = 89.03 : x
  2. Step 2: Convert to fraction form
    115.26/159.00 = 89.03/x
  3. Step 3: Cross multiply
    115.26x = 159.00 × 89.03
  4. Step 4: Simplify right side
    115.26x = 14,155.83
  5. Step 5: Solve for x
    x = 14,155.83/115.26
  6. Step 6: Final answer
    x = 122.82

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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.