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Finding the Fourth Proportional to 86.52, 119.56 and 75.72

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Solution

The fourth proportional to 86.52, 119.56 and 75.72 is: 104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.52 : 119.56 = 75.72 : x
  2. Step 2: Convert to fraction form
    86.52/119.56 = 75.72/x
  3. Step 3: Cross multiply
    86.52x = 119.56 × 75.72
  4. Step 4: Simplify right side
    86.52x = 9,053.08
  5. Step 5: Solve for x
    x = 9,053.08/86.52
  6. Step 6: Final answer
    x = 104.64

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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.