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Finding the Fourth Proportional to 151.98, 209.84 and 99.56

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Solution

The fourth proportional to 151.98, 209.84 and 99.56 is: 137.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.98 : 209.84 = 99.56 : x
  2. Step 2: Convert to fraction form
    151.98/209.84 = 99.56/x
  3. Step 3: Cross multiply
    151.98x = 209.84 × 99.56
  4. Step 4: Simplify right side
    151.98x = 20,890.12
  5. Step 5: Solve for x
    x = 20,890.12/151.98
  6. Step 6: Final answer
    x = 137.45

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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.