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Finding the Fourth Proportional to 106.78, 160.22 and 45.93

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Solution

The fourth proportional to 106.78, 160.22 and 45.93 is: 68.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.78 : 160.22 = 45.93 : x
  2. Step 2: Convert to fraction form
    106.78/160.22 = 45.93/x
  3. Step 3: Cross multiply
    106.78x = 160.22 × 45.93
  4. Step 4: Simplify right side
    106.78x = 7,359.02
  5. Step 5: Solve for x
    x = 7,359.02/106.78
  6. Step 6: Final answer
    x = 68.92

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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.