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Finding the Fourth Proportional to 134.40, 185.52 and 119.76

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Solution

The fourth proportional to 134.40, 185.52 and 119.76 is: 165.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.40 : 185.52 = 119.76 : x
  2. Step 2: Convert to fraction form
    134.40/185.52 = 119.76/x
  3. Step 3: Cross multiply
    134.40x = 185.52 × 119.76
  4. Step 4: Simplify right side
    134.40x = 22,217.88
  5. Step 5: Solve for x
    x = 22,217.88/134.40
  6. Step 6: Final answer
    x = 165.31

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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.