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Finding the Fourth Proportional to 134.70, 185.76 and 82.92

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Solution

The fourth proportional to 134.70, 185.76 and 82.92 is: 114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.70 : 185.76 = 82.92 : x
  2. Step 2: Convert to fraction form
    134.70/185.76 = 82.92/x
  3. Step 3: Cross multiply
    134.70x = 185.76 × 82.92
  4. Step 4: Simplify right side
    134.70x = 15,403.22
  5. Step 5: Solve for x
    x = 15,403.22/134.70
  6. Step 6: Final answer
    x = 114.35

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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.