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Finding the Fourth Proportional to 45.73, 68.51 and 25.46

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Solution

The fourth proportional to 45.73, 68.51 and 25.46 is: 38.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.73 : 68.51 = 25.46 : x
  2. Step 2: Convert to fraction form
    45.73/68.51 = 25.46/x
  3. Step 3: Cross multiply
    45.73x = 68.51 × 25.46
  4. Step 4: Simplify right side
    45.73x = 1,743.86
  5. Step 5: Solve for x
    x = 1,743.86/45.73
  6. Step 6: Final answer
    x = 38.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.