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Finding the Fourth Proportional to 49.71, 74.21 and 42.02

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Solution

The fourth proportional to 49.71, 74.21 and 42.02 is: 62.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.71 : 74.21 = 42.02 : x
  2. Step 2: Convert to fraction form
    49.71/74.21 = 42.02/x
  3. Step 3: Cross multiply
    49.71x = 74.21 × 42.02
  4. Step 4: Simplify right side
    49.71x = 3,118.36
  5. Step 5: Solve for x
    x = 3,118.36/49.71
  6. Step 6: Final answer
    x = 62.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.