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Finding the Fourth Proportional to 45.14, 62.32 and 34.78

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Solution

The fourth proportional to 45.14, 62.32 and 34.78 is: 48.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.14 : 62.32 = 34.78 : x
  2. Step 2: Convert to fraction form
    45.14/62.32 = 34.78/x
  3. Step 3: Cross multiply
    45.14x = 62.32 × 34.78
  4. Step 4: Simplify right side
    45.14x = 2,167.49
  5. Step 5: Solve for x
    x = 2,167.49/45.14
  6. Step 6: Final answer
    x = 48.02

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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.