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Finding the Fourth Proportional to 169.93, 254.61 and 61.66

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Solution

The fourth proportional to 169.93, 254.61 and 61.66 is: 92.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.93 : 254.61 = 61.66 : x
  2. Step 2: Convert to fraction form
    169.93/254.61 = 61.66/x
  3. Step 3: Cross multiply
    169.93x = 254.61 × 61.66
  4. Step 4: Simplify right side
    169.93x = 15,699.25
  5. Step 5: Solve for x
    x = 15,699.25/169.93
  6. Step 6: Final answer
    x = 92.39

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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.