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Finding the Fourth Proportional to 134.18, 185.24 and 92.80

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Solution

The fourth proportional to 134.18, 185.24 and 92.80 is: 128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.18 : 185.24 = 92.80 : x
  2. Step 2: Convert to fraction form
    134.18/185.24 = 92.80/x
  3. Step 3: Cross multiply
    134.18x = 185.24 × 92.80
  4. Step 4: Simplify right side
    134.18x = 17,189.69
  5. Step 5: Solve for x
    x = 17,189.69/134.18
  6. Step 6: Final answer
    x = 128.11

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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.