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Finding the Fourth Proportional to 169.00, 253.61 and 91.97

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Solution

The fourth proportional to 169.00, 253.61 and 91.97 is: 138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.00 : 253.61 = 91.97 : x
  2. Step 2: Convert to fraction form
    169.00/253.61 = 91.97/x
  3. Step 3: Cross multiply
    169.00x = 253.61 × 91.97
  4. Step 4: Simplify right side
    169.00x = 23,326.02
  5. Step 5: Solve for x
    x = 23,326.02/169.00
  6. Step 6: Final answer
    x = 138.02

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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.