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Finding the Fourth Proportional to 49.29, 74.01 and 40.78

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Solution

The fourth proportional to 49.29, 74.01 and 40.78 is: 61.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.29 : 74.01 = 40.78 : x
  2. Step 2: Convert to fraction form
    49.29/74.01 = 40.78/x
  3. Step 3: Cross multiply
    49.29x = 74.01 × 40.78
  4. Step 4: Simplify right side
    49.29x = 3,018.13
  5. Step 5: Solve for x
    x = 3,018.13/49.29
  6. Step 6: Final answer
    x = 61.23

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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.