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Finding the Fourth Proportional to 151.06, 208.48 and 84.68

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Solution

The fourth proportional to 151.06, 208.48 and 84.68 is: 116.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.06 : 208.48 = 84.68 : x
  2. Step 2: Convert to fraction form
    151.06/208.48 = 84.68/x
  3. Step 3: Cross multiply
    151.06x = 208.48 × 84.68
  4. Step 4: Simplify right side
    151.06x = 17,654.09
  5. Step 5: Solve for x
    x = 17,654.09/151.06
  6. Step 6: Final answer
    x = 116.87

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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.