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Finding the Fourth Proportional to 52.28, 72.11 and 31.55

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Solution

The fourth proportional to 52.28, 72.11 and 31.55 is: 43.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.28 : 72.11 = 31.55 : x
  2. Step 2: Convert to fraction form
    52.28/72.11 = 31.55/x
  3. Step 3: Cross multiply
    52.28x = 72.11 × 31.55
  4. Step 4: Simplify right side
    52.28x = 2,274.55
  5. Step 5: Solve for x
    x = 2,274.55/52.28
  6. Step 6: Final answer
    x = 43.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.