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Finding the Fourth Proportional to 49.53, 67.95 and 48.34

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Solution

The fourth proportional to 49.53, 67.95 and 48.34 is: 66.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.53 : 67.95 = 48.34 : x
  2. Step 2: Convert to fraction form
    49.53/67.95 = 48.34/x
  3. Step 3: Cross multiply
    49.53x = 67.95 × 48.34
  4. Step 4: Simplify right side
    49.53x = 3,284.70
  5. Step 5: Solve for x
    x = 3,284.70/49.53
  6. Step 6: Final answer
    x = 66.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.