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Finding the Fourth Proportional to 49.40, 74.31 and 38.06

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Solution

The fourth proportional to 49.40, 74.31 and 38.06 is: 57.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.40 : 74.31 = 38.06 : x
  2. Step 2: Convert to fraction form
    49.40/74.31 = 38.06/x
  3. Step 3: Cross multiply
    49.40x = 74.31 × 38.06
  4. Step 4: Simplify right side
    49.40x = 2,828.24
  5. Step 5: Solve for x
    x = 2,828.24/49.40
  6. Step 6: Final answer
    x = 57.25

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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.