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Finding the Fourth Proportional to 119.60, 180.40 and 117.92

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Solution

The fourth proportional to 119.60, 180.40 and 117.92 is: 177.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 180.40 = 117.92 : x
  2. Step 2: Convert to fraction form
    119.60/180.40 = 117.92/x
  3. Step 3: Cross multiply
    119.60x = 180.40 × 117.92
  4. Step 4: Simplify right side
    119.60x = 21,272.77
  5. Step 5: Solve for x
    x = 21,272.77/119.60
  6. Step 6: Final answer
    x = 177.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.