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Finding the Fourth Proportional to 151.14, 208.51 and 88.95

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Solution

The fourth proportional to 151.14, 208.51 and 88.95 is: 122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 208.51 = 88.95 : x
  2. Step 2: Convert to fraction form
    151.14/208.51 = 88.95/x
  3. Step 3: Cross multiply
    151.14x = 208.51 × 88.95
  4. Step 4: Simplify right side
    151.14x = 18,546.96
  5. Step 5: Solve for x
    x = 18,546.96/151.14
  6. Step 6: Final answer
    x = 122.71

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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.