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Finding the Fourth Proportional to 45.24, 62.46 and 38.01

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Solution

The fourth proportional to 45.24, 62.46 and 38.01 is: 52.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.24 : 62.46 = 38.01 : x
  2. Step 2: Convert to fraction form
    45.24/62.46 = 38.01/x
  3. Step 3: Cross multiply
    45.24x = 62.46 × 38.01
  4. Step 4: Simplify right side
    45.24x = 2,374.10
  5. Step 5: Solve for x
    x = 2,374.10/45.24
  6. Step 6: Final answer
    x = 52.48

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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.