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Finding the Fourth Proportional to 49.92, 74.76 and 27.06

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Solution

The fourth proportional to 49.92, 74.76 and 27.06 is: 40.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.92 : 74.76 = 27.06 : x
  2. Step 2: Convert to fraction form
    49.92/74.76 = 27.06/x
  3. Step 3: Cross multiply
    49.92x = 74.76 × 27.06
  4. Step 4: Simplify right side
    49.92x = 2,023.01
  5. Step 5: Solve for x
    x = 2,023.01/49.92
  6. Step 6: Final answer
    x = 40.52

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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.