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Finding the Fourth Proportional to 110.94, 152.82 and 99.80

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Solution

The fourth proportional to 110.94, 152.82 and 99.80 is: 137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 152.82 = 99.80 : x
  2. Step 2: Convert to fraction form
    110.94/152.82 = 99.80/x
  3. Step 3: Cross multiply
    110.94x = 152.82 × 99.80
  4. Step 4: Simplify right side
    110.94x = 15,251.24
  5. Step 5: Solve for x
    x = 15,251.24/110.94
  6. Step 6: Final answer
    x = 137.48

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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.