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Finding the Fourth Proportional to 117.49, 176.01 and 113.29

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Solution

The fourth proportional to 117.49, 176.01 and 113.29 is: 169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.49 : 176.01 = 113.29 : x
  2. Step 2: Convert to fraction form
    117.49/176.01 = 113.29/x
  3. Step 3: Cross multiply
    117.49x = 176.01 × 113.29
  4. Step 4: Simplify right side
    117.49x = 19,938.73
  5. Step 5: Solve for x
    x = 19,938.73/117.49
  6. Step 6: Final answer
    x = 169.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.