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Finding the Fourth Proportional to 134.78, 185.92 and 85.64

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Solution

The fourth proportional to 134.78, 185.92 and 85.64 is: 118.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.78 : 185.92 = 85.64 : x
  2. Step 2: Convert to fraction form
    134.78/185.92 = 85.64/x
  3. Step 3: Cross multiply
    134.78x = 185.92 × 85.64
  4. Step 4: Simplify right side
    134.78x = 15,921.05
  5. Step 5: Solve for x
    x = 15,921.05/134.78
  6. Step 6: Final answer
    x = 118.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.