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Finding the Fourth Proportional to 45, 61.92 and 38.07

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Solution

The fourth proportional to 45, 61.92 and 38.07 is: 52.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 61.92 = 38.07 : x
  2. Step 2: Convert to fraction form
    45/61.92 = 38.07/x
  3. Step 3: Cross multiply
    45x = 61.92 × 38.07
  4. Step 4: Simplify right side
    45x = 2,357.29
  5. Step 5: Solve for x
    x = 2,357.29/45
  6. Step 6: Final answer
    x = 52.38

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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.