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Finding the Fourth Proportional to 77.07, 106.40 and 49.49

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Solution

The fourth proportional to 77.07, 106.40 and 49.49 is: 68.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.07 : 106.40 = 49.49 : x
  2. Step 2: Convert to fraction form
    77.07/106.40 = 49.49/x
  3. Step 3: Cross multiply
    77.07x = 106.40 × 49.49
  4. Step 4: Simplify right side
    77.07x = 5,265.74
  5. Step 5: Solve for x
    x = 5,265.74/77.07
  6. Step 6: Final answer
    x = 68.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.