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Finding the Fourth Proportional to 49.42, 74.05 and 26.61

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Solution

The fourth proportional to 49.42, 74.05 and 26.61 is: 39.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.42 : 74.05 = 26.61 : x
  2. Step 2: Convert to fraction form
    49.42/74.05 = 26.61/x
  3. Step 3: Cross multiply
    49.42x = 74.05 × 26.61
  4. Step 4: Simplify right side
    49.42x = 1,970.13
  5. Step 5: Solve for x
    x = 1,970.13/49.42
  6. Step 6: Final answer
    x = 39.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.