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Finding the Fourth Proportional to 86.48, 119.59 and 77.72

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Solution

The fourth proportional to 86.48, 119.59 and 77.72 is: 107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.48 : 119.59 = 77.72 : x
  2. Step 2: Convert to fraction form
    86.48/119.59 = 77.72/x
  3. Step 3: Cross multiply
    86.48x = 119.59 × 77.72
  4. Step 4: Simplify right side
    86.48x = 9,294.53
  5. Step 5: Solve for x
    x = 9,294.53/86.48
  6. Step 6: Final answer
    x = 107.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.