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Finding the Fourth Proportional to 106.77, 160.04 and 51.84

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Solution

The fourth proportional to 106.77, 160.04 and 51.84 is: 77.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.77 : 160.04 = 51.84 : x
  2. Step 2: Convert to fraction form
    106.77/160.04 = 51.84/x
  3. Step 3: Cross multiply
    106.77x = 160.04 × 51.84
  4. Step 4: Simplify right side
    106.77x = 8,296.21
  5. Step 5: Solve for x
    x = 8,296.21/106.77
  6. Step 6: Final answer
    x = 77.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.