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Finding the Fourth Proportional to 151.74, 209.46 and 102.64

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Solution

The fourth proportional to 151.74, 209.46 and 102.64 is: 141.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.74 : 209.46 = 102.64 : x
  2. Step 2: Convert to fraction form
    151.74/209.46 = 102.64/x
  3. Step 3: Cross multiply
    151.74x = 209.46 × 102.64
  4. Step 4: Simplify right side
    151.74x = 21,498.97
  5. Step 5: Solve for x
    x = 21,498.97/151.74
  6. Step 6: Final answer
    x = 141.68

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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.