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Finding the Fourth Proportional to 110.49, 152.19 and 105.02

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Solution

The fourth proportional to 110.49, 152.19 and 105.02 is: 144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.49 : 152.19 = 105.02 : x
  2. Step 2: Convert to fraction form
    110.49/152.19 = 105.02/x
  3. Step 3: Cross multiply
    110.49x = 152.19 × 105.02
  4. Step 4: Simplify right side
    110.49x = 15,982.80
  5. Step 5: Solve for x
    x = 15,982.80/110.49
  6. Step 6: Final answer
    x = 144.66

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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.