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Finding the Fourth Proportional to 151.38, 208.92 and 85.92

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Solution

The fourth proportional to 151.38, 208.92 and 85.92 is: 118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.38 : 208.92 = 85.92 : x
  2. Step 2: Convert to fraction form
    151.38/208.92 = 85.92/x
  3. Step 3: Cross multiply
    151.38x = 208.92 × 85.92
  4. Step 4: Simplify right side
    151.38x = 17,950.41
  5. Step 5: Solve for x
    x = 17,950.41/151.38
  6. Step 6: Final answer
    x = 118.58

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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.