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Finding the Fourth Proportional to 49.16, 67.84 and 30.74

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Solution

The fourth proportional to 49.16, 67.84 and 30.74 is: 42.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.16 : 67.84 = 30.74 : x
  2. Step 2: Convert to fraction form
    49.16/67.84 = 30.74/x
  3. Step 3: Cross multiply
    49.16x = 67.84 × 30.74
  4. Step 4: Simplify right side
    49.16x = 2,085.06
  5. Step 5: Solve for x
    x = 2,085.06/49.16
  6. Step 6: Final answer
    x = 42.42

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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.