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Finding the Fourth Proportional to 113.68, 169.88 and 77.23

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Solution

The fourth proportional to 113.68, 169.88 and 77.23 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 169.88 = 77.23 : x
  2. Step 2: Convert to fraction form
    113.68/169.88 = 77.23/x
  3. Step 3: Cross multiply
    113.68x = 169.88 × 77.23
  4. Step 4: Simplify right side
    113.68x = 13,119.83
  5. Step 5: Solve for x
    x = 13,119.83/113.68
  6. Step 6: Final answer
    x = 115.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.