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Finding the Fourth Proportional to 115.72, 159.54 and 82.00

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Solution

The fourth proportional to 115.72, 159.54 and 82.00 is: 113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.72 : 159.54 = 82.00 : x
  2. Step 2: Convert to fraction form
    115.72/159.54 = 82.00/x
  3. Step 3: Cross multiply
    115.72x = 159.54 × 82.00
  4. Step 4: Simplify right side
    115.72x = 13,081.48
  5. Step 5: Solve for x
    x = 13,081.48/115.72
  6. Step 6: Final answer
    x = 113.05

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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.