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Finding the Fourth Proportional to 77.01, 106.27 and 47.90

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Solution

The fourth proportional to 77.01, 106.27 and 47.90 is: 66.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.01 : 106.27 = 47.90 : x
  2. Step 2: Convert to fraction form
    77.01/106.27 = 47.90/x
  3. Step 3: Cross multiply
    77.01x = 106.27 × 47.90
  4. Step 4: Simplify right side
    77.01x = 5,089.68
  5. Step 5: Solve for x
    x = 5,089.68/77.01
  6. Step 6: Final answer
    x = 66.09

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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.