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Finding the Fourth Proportional to 77.00, 106.28 and 49.40

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Solution

The fourth proportional to 77.00, 106.28 and 49.40 is: 68.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.00 : 106.28 = 49.40 : x
  2. Step 2: Convert to fraction form
    77.00/106.28 = 49.40/x
  3. Step 3: Cross multiply
    77.00x = 106.28 × 49.40
  4. Step 4: Simplify right side
    77.00x = 5,249.45
  5. Step 5: Solve for x
    x = 5,249.45/77.00
  6. Step 6: Final answer
    x = 68.18

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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.