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Finding the Fourth Proportional to 169.39, 233.76 and 91.77

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Solution

The fourth proportional to 169.39, 233.76 and 91.77 is: 126.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 233.76 = 91.77 : x
  2. Step 2: Convert to fraction form
    169.39/233.76 = 91.77/x
  3. Step 3: Cross multiply
    169.39x = 233.76 × 91.77
  4. Step 4: Simplify right side
    169.39x = 21,451.69
  5. Step 5: Solve for x
    x = 21,451.69/169.39
  6. Step 6: Final answer
    x = 126.64

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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.