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Finding the Fourth Proportional to 114.72, 171.96 and 49.68

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Solution

The fourth proportional to 114.72, 171.96 and 49.68 is: 74.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.72 : 171.96 = 49.68 : x
  2. Step 2: Convert to fraction form
    114.72/171.96 = 49.68/x
  3. Step 3: Cross multiply
    114.72x = 171.96 × 49.68
  4. Step 4: Simplify right side
    114.72x = 8,542.97
  5. Step 5: Solve for x
    x = 8,542.97/114.72
  6. Step 6: Final answer
    x = 74.47

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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.