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Finding the Fourth Proportional to 106.78, 160.17 and 45.84

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Solution

The fourth proportional to 106.78, 160.17 and 45.84 is: 68.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 160.17 = 45.84 : x
  2. Step 2: Convert to fraction form
    106.78/160.17 = 45.84/x
  3. Step 3: Cross multiply
    106.78x = 160.17 × 45.84
  4. Step 4: Simplify right side
    106.78x = 7,342.19
  5. Step 5: Solve for x
    x = 7,342.19/106.78
  6. Step 6: Final answer
    x = 68.76

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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.