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Finding the Fourth Proportional to 77.77, 106.64 and 75.04

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Solution

The fourth proportional to 77.77, 106.64 and 75.04 is: 102.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.77 : 106.64 = 75.04 : x
  2. Step 2: Convert to fraction form
    77.77/106.64 = 75.04/x
  3. Step 3: Cross multiply
    77.77x = 106.64 × 75.04
  4. Step 4: Simplify right side
    77.77x = 8,002.27
  5. Step 5: Solve for x
    x = 8,002.27/77.77
  6. Step 6: Final answer
    x = 102.90

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