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Finding the Fourth Proportional to 169.49, 233.82 and 99.56

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Solution

The fourth proportional to 169.49, 233.82 and 99.56 is: 137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.49 : 233.82 = 99.56 : x
  2. Step 2: Convert to fraction form
    169.49/233.82 = 99.56/x
  3. Step 3: Cross multiply
    169.49x = 233.82 × 99.56
  4. Step 4: Simplify right side
    169.49x = 23,277.95
  5. Step 5: Solve for x
    x = 23,277.95/169.49
  6. Step 6: Final answer
    x = 137.34

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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.