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Finding the Fourth Proportional to 169.83, 254.64 and 83.16

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Solution

The fourth proportional to 169.83, 254.64 and 83.16 is: 124.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.83 : 254.64 = 83.16 : x
  2. Step 2: Convert to fraction form
    169.83/254.64 = 83.16/x
  3. Step 3: Cross multiply
    169.83x = 254.64 × 83.16
  4. Step 4: Simplify right side
    169.83x = 21,176.17
  5. Step 5: Solve for x
    x = 21,176.17/169.83
  6. Step 6: Final answer
    x = 124.69

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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.