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Finding the Fourth Proportional to 121.61, 182.43 and 43.52

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Solution

The fourth proportional to 121.61, 182.43 and 43.52 is: 65.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.61 : 182.43 = 43.52 : x
  2. Step 2: Convert to fraction form
    121.61/182.43 = 43.52/x
  3. Step 3: Cross multiply
    121.61x = 182.43 × 43.52
  4. Step 4: Simplify right side
    121.61x = 7,939.35
  5. Step 5: Solve for x
    x = 7,939.35/121.61
  6. Step 6: Final answer
    x = 65.29

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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.