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Finding the Fourth Proportional to 119.48, 178.27 and 116.71

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Solution

The fourth proportional to 119.48, 178.27 and 116.71 is: 174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.48 : 178.27 = 116.71 : x
  2. Step 2: Convert to fraction form
    119.48/178.27 = 116.71/x
  3. Step 3: Cross multiply
    119.48x = 178.27 × 116.71
  4. Step 4: Simplify right side
    119.48x = 20,805.15
  5. Step 5: Solve for x
    x = 20,805.15/119.48
  6. Step 6: Final answer
    x = 174.14

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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.