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Finding the Fourth Proportional to 106.69, 160.05 and 45.83

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Solution

The fourth proportional to 106.69, 160.05 and 45.83 is: 68.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.69 : 160.05 = 45.83 : x
  2. Step 2: Convert to fraction form
    106.69/160.05 = 45.83/x
  3. Step 3: Cross multiply
    106.69x = 160.05 × 45.83
  4. Step 4: Simplify right side
    106.69x = 7,334.12
  5. Step 5: Solve for x
    x = 7,334.12/106.69
  6. Step 6: Final answer
    x = 68.74

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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.