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Finding the Fourth Proportional to 77.01, 106.30 and 54.92

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Solution

The fourth proportional to 77.01, 106.30 and 54.92 is: 75.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.01 : 106.30 = 54.92 : x
  2. Step 2: Convert to fraction form
    77.01/106.30 = 54.92/x
  3. Step 3: Cross multiply
    77.01x = 106.30 × 54.92
  4. Step 4: Simplify right side
    77.01x = 5,838.00
  5. Step 5: Solve for x
    x = 5,838.00/77.01
  6. Step 6: Final answer
    x = 75.81

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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.