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Finding the Fourth Proportional to 169.64, 254.37 and 54.06

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Solution

The fourth proportional to 169.64, 254.37 and 54.06 is: 81.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.64 : 254.37 = 54.06 : x
  2. Step 2: Convert to fraction form
    169.64/254.37 = 54.06/x
  3. Step 3: Cross multiply
    169.64x = 254.37 × 54.06
  4. Step 4: Simplify right side
    169.64x = 13,751.93
  5. Step 5: Solve for x
    x = 13,751.93/169.64
  6. Step 6: Final answer
    x = 81.07

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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.