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Finding the Fourth Proportional to 169.39, 254.06 and 47.65

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Solution

The fourth proportional to 169.39, 254.06 and 47.65 is: 71.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 254.06 = 47.65 : x
  2. Step 2: Convert to fraction form
    169.39/254.06 = 47.65/x
  3. Step 3: Cross multiply
    169.39x = 254.06 × 47.65
  4. Step 4: Simplify right side
    169.39x = 12,104.45
  5. Step 5: Solve for x
    x = 12,104.45/169.39
  6. Step 6: Final answer
    x = 71.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.