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Finding the Fourth Proportional to 49.34, 67.94 and 39.02

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Solution

The fourth proportional to 49.34, 67.94 and 39.02 is: 53.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.34 : 67.94 = 39.02 : x
  2. Step 2: Convert to fraction form
    49.34/67.94 = 39.02/x
  3. Step 3: Cross multiply
    49.34x = 67.94 × 39.02
  4. Step 4: Simplify right side
    49.34x = 2,650.63
  5. Step 5: Solve for x
    x = 2,650.63/49.34
  6. Step 6: Final answer
    x = 53.72

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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.