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Finding the Fourth Proportional to 151.93, 209.69 and 99.48

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Solution

The fourth proportional to 151.93, 209.69 and 99.48 is: 137.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.93 : 209.69 = 99.48 : x
  2. Step 2: Convert to fraction form
    151.93/209.69 = 99.48/x
  3. Step 3: Cross multiply
    151.93x = 209.69 × 99.48
  4. Step 4: Simplify right side
    151.93x = 20,859.96
  5. Step 5: Solve for x
    x = 20,859.96/151.93
  6. Step 6: Final answer
    x = 137.30

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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.