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Finding the Fourth Proportional to 169.37, 254.03 and 47.61

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Solution

The fourth proportional to 169.37, 254.03 and 47.61 is: 71.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.37 : 254.03 = 47.61 : x
  2. Step 2: Convert to fraction form
    169.37/254.03 = 47.61/x
  3. Step 3: Cross multiply
    169.37x = 254.03 × 47.61
  4. Step 4: Simplify right side
    169.37x = 12,094.13
  5. Step 5: Solve for x
    x = 12,094.13/169.37
  6. Step 6: Final answer
    x = 71.41

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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.