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Finding the Fourth Proportional to 116.48, 174.71 and 29.81

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Solution

The fourth proportional to 116.48, 174.71 and 29.81 is: 44.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 174.71 = 29.81 : x
  2. Step 2: Convert to fraction form
    116.48/174.71 = 29.81/x
  3. Step 3: Cross multiply
    116.48x = 174.71 × 29.81
  4. Step 4: Simplify right side
    116.48x = 5,207.23
  5. Step 5: Solve for x
    x = 5,207.23/116.48
  6. Step 6: Final answer
    x = 44.71

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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.