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Finding the Fourth Proportional to 134.25, 185.25 and 85.14

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Solution

The fourth proportional to 134.25, 185.25 and 85.14 is: 117.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.25 : 185.25 = 85.14 : x
  2. Step 2: Convert to fraction form
    134.25/185.25 = 85.14/x
  3. Step 3: Cross multiply
    134.25x = 185.25 × 85.14
  4. Step 4: Simplify right side
    134.25x = 15,772.19
  5. Step 5: Solve for x
    x = 15,772.19/134.25
  6. Step 6: Final answer
    x = 117.48

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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.