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Finding the Fourth Proportional to 49.45, 68.24 and 27.32

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Solution

The fourth proportional to 49.45, 68.24 and 27.32 is: 37.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.45 : 68.24 = 27.32 : x
  2. Step 2: Convert to fraction form
    49.45/68.24 = 27.32/x
  3. Step 3: Cross multiply
    49.45x = 68.24 × 27.32
  4. Step 4: Simplify right side
    49.45x = 1,864.01
  5. Step 5: Solve for x
    x = 1,864.01/49.45
  6. Step 6: Final answer
    x = 37.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.