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Finding the Fourth Proportional to 151.76, 209.23 and 109.71

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Solution

The fourth proportional to 151.76, 209.23 and 109.71 is: 151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.76 : 209.23 = 109.71 : x
  2. Step 2: Convert to fraction form
    151.76/209.23 = 109.71/x
  3. Step 3: Cross multiply
    151.76x = 209.23 × 109.71
  4. Step 4: Simplify right side
    151.76x = 22,954.07
  5. Step 5: Solve for x
    x = 22,954.07/151.76
  6. Step 6: Final answer
    x = 151.25

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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.