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Finding the Fourth Proportional to 49.30, 74.42 and 49.30

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Solution

The fourth proportional to 49.30, 74.42 and 49.30 is: 74.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.30 : 74.42 = 49.30 : x
  2. Step 2: Convert to fraction form
    49.30/74.42 = 49.30/x
  3. Step 3: Cross multiply
    49.30x = 74.42 × 49.30
  4. Step 4: Simplify right side
    49.30x = 3,668.66
  5. Step 5: Solve for x
    x = 3,668.66/49.30
  6. Step 6: Final answer
    x = 74.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.