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Finding the Fourth Proportional to 45.20, 62.33 and 31.40

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Solution

The fourth proportional to 45.20, 62.33 and 31.40 is: 43.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.20 : 62.33 = 31.40 : x
  2. Step 2: Convert to fraction form
    45.20/62.33 = 31.40/x
  3. Step 3: Cross multiply
    45.20x = 62.33 × 31.40
  4. Step 4: Simplify right side
    45.20x = 1,956.69
  5. Step 5: Solve for x
    x = 1,956.69/45.20
  6. Step 6: Final answer
    x = 43.29

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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.