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Finding the Fourth Proportional to 110.49, 152.40 and 77.24

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Solution

The fourth proportional to 110.49, 152.40 and 77.24 is: 106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.49 : 152.40 = 77.24 : x
  2. Step 2: Convert to fraction form
    110.49/152.40 = 77.24/x
  3. Step 3: Cross multiply
    110.49x = 152.40 × 77.24
  4. Step 4: Simplify right side
    110.49x = 11,770.61
  5. Step 5: Solve for x
    x = 11,770.61/110.49
  6. Step 6: Final answer
    x = 106.53

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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.