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Finding the Fourth Proportional to 38.20, 52.58 and 31.72

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Solution

The fourth proportional to 38.20, 52.58 and 31.72 is: 43.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.20 : 52.58 = 31.72 : x
  2. Step 2: Convert to fraction form
    38.20/52.58 = 31.72/x
  3. Step 3: Cross multiply
    38.20x = 52.58 × 31.72
  4. Step 4: Simplify right side
    38.20x = 1,667.84
  5. Step 5: Solve for x
    x = 1,667.84/38.20
  6. Step 6: Final answer
    x = 43.66

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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.