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Finding the Fourth Proportional to 151.32, 208.68 and 98.88

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Solution

The fourth proportional to 151.32, 208.68 and 98.88 is: 136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.32 : 208.68 = 98.88 : x
  2. Step 2: Convert to fraction form
    151.32/208.68 = 98.88/x
  3. Step 3: Cross multiply
    151.32x = 208.68 × 98.88
  4. Step 4: Simplify right side
    151.32x = 20,634.28
  5. Step 5: Solve for x
    x = 20,634.28/151.32
  6. Step 6: Final answer
    x = 136.36

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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.