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Finding the Fourth Proportional to 106.83, 160.06 and 51.89

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Solution

The fourth proportional to 106.83, 160.06 and 51.89 is: 77.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.83 : 160.06 = 51.89 : x
  2. Step 2: Convert to fraction form
    106.83/160.06 = 51.89/x
  3. Step 3: Cross multiply
    106.83x = 160.06 × 51.89
  4. Step 4: Simplify right side
    106.83x = 8,305.51
  5. Step 5: Solve for x
    x = 8,305.51/106.83
  6. Step 6: Final answer
    x = 77.75

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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.