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Finding the Fourth Proportional to 119.60, 178.37 and 117.44

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Solution

The fourth proportional to 119.60, 178.37 and 117.44 is: 175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 178.37 = 117.44 : x
  2. Step 2: Convert to fraction form
    119.60/178.37 = 117.44/x
  3. Step 3: Cross multiply
    119.60x = 178.37 × 117.44
  4. Step 4: Simplify right side
    119.60x = 20,947.40
  5. Step 5: Solve for x
    x = 20,947.40/119.60
  6. Step 6: Final answer
    x = 175.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.