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Finding the Fourth Proportional to 45.73, 63.14 and 34.09

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Solution

The fourth proportional to 45.73, 63.14 and 34.09 is: 47.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.73 : 63.14 = 34.09 : x
  2. Step 2: Convert to fraction form
    45.73/63.14 = 34.09/x
  3. Step 3: Cross multiply
    45.73x = 63.14 × 34.09
  4. Step 4: Simplify right side
    45.73x = 2,152.11
  5. Step 5: Solve for x
    x = 2,152.11/45.73
  6. Step 6: Final answer
    x = 47.06

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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.