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Finding the Fourth Proportional to 151.93, 209.71 and 89.76

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Solution

The fourth proportional to 151.93, 209.71 and 89.76 is: 123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.93 : 209.71 = 89.76 : x
  2. Step 2: Convert to fraction form
    151.93/209.71 = 89.76/x
  3. Step 3: Cross multiply
    151.93x = 209.71 × 89.76
  4. Step 4: Simplify right side
    151.93x = 18,823.57
  5. Step 5: Solve for x
    x = 18,823.57/151.93
  6. Step 6: Final answer
    x = 123.90

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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.