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Finding the Fourth Proportional to 104.71, 144.53 and 99.82

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Solution

The fourth proportional to 104.71, 144.53 and 99.82 is: 137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.71 : 144.53 = 99.82 : x
  2. Step 2: Convert to fraction form
    104.71/144.53 = 99.82/x
  3. Step 3: Cross multiply
    104.71x = 144.53 × 99.82
  4. Step 4: Simplify right side
    104.71x = 14,426.98
  5. Step 5: Solve for x
    x = 14,426.98/104.71
  6. Step 6: Final answer
    x = 137.78

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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.