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Finding the Fourth Proportional to 151.10, 208.47 and 104.41

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Solution

The fourth proportional to 151.10, 208.47 and 104.41 is: 144.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.10 : 208.47 = 104.41 : x
  2. Step 2: Convert to fraction form
    151.10/208.47 = 104.41/x
  3. Step 3: Cross multiply
    151.10x = 208.47 × 104.41
  4. Step 4: Simplify right side
    151.10x = 21,766.93
  5. Step 5: Solve for x
    x = 21,766.93/151.10
  6. Step 6: Final answer
    x = 144.06

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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.