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Finding the Fourth Proportional to 151.18, 208.65 and 85.69

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Solution

The fourth proportional to 151.18, 208.65 and 85.69 is: 118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.18 : 208.65 = 85.69 : x
  2. Step 2: Convert to fraction form
    151.18/208.65 = 85.69/x
  3. Step 3: Cross multiply
    151.18x = 208.65 × 85.69
  4. Step 4: Simplify right side
    151.18x = 17,878.70
  5. Step 5: Solve for x
    x = 17,878.70/151.18
  6. Step 6: Final answer
    x = 118.26

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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.