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Finding the Fourth Proportional to 151.80, 209.62 and 102.71

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Solution

The fourth proportional to 151.80, 209.62 and 102.71 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 209.62 = 102.71 : x
  2. Step 2: Convert to fraction form
    151.80/209.62 = 102.71/x
  3. Step 3: Cross multiply
    151.80x = 209.62 × 102.71
  4. Step 4: Simplify right side
    151.80x = 21,530.07
  5. Step 5: Solve for x
    x = 21,530.07/151.80
  6. Step 6: Final answer
    x = 141.84

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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.