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Finding the Fourth Proportional to 86.25, 119.09 and 77.49

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Solution

The fourth proportional to 86.25, 119.09 and 77.49 is: 106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.25 : 119.09 = 77.49 : x
  2. Step 2: Convert to fraction form
    86.25/119.09 = 77.49/x
  3. Step 3: Cross multiply
    86.25x = 119.09 × 77.49
  4. Step 4: Simplify right side
    86.25x = 9,228.48
  5. Step 5: Solve for x
    x = 9,228.48/86.25
  6. Step 6: Final answer
    x = 106.99

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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.