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Finding the Fourth Proportional to 49.40, 68.13 and 35.61

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Solution

The fourth proportional to 49.40, 68.13 and 35.61 is: 49.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.40 : 68.13 = 35.61 : x
  2. Step 2: Convert to fraction form
    49.40/68.13 = 35.61/x
  3. Step 3: Cross multiply
    49.40x = 68.13 × 35.61
  4. Step 4: Simplify right side
    49.40x = 2,426.11
  5. Step 5: Solve for x
    x = 2,426.11/49.40
  6. Step 6: Final answer
    x = 49.12

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