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Finding the Fourth Proportional to 134.24, 185.34 and 85.20

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Solution

The fourth proportional to 134.24, 185.34 and 85.20 is: 117.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.24 : 185.34 = 85.20 : x
  2. Step 2: Convert to fraction form
    134.24/185.34 = 85.20/x
  3. Step 3: Cross multiply
    134.24x = 185.34 × 85.20
  4. Step 4: Simplify right side
    134.24x = 15,790.97
  5. Step 5: Solve for x
    x = 15,790.97/134.24
  6. Step 6: Final answer
    x = 117.64

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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.