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Finding the Fourth Proportional to 106.93, 160.24 and 52.86

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Solution

The fourth proportional to 106.93, 160.24 and 52.86 is: 79.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.93 : 160.24 = 52.86 : x
  2. Step 2: Convert to fraction form
    106.93/160.24 = 52.86/x
  3. Step 3: Cross multiply
    106.93x = 160.24 × 52.86
  4. Step 4: Simplify right side
    106.93x = 8,470.48
  5. Step 5: Solve for x
    x = 8,470.48/106.93
  6. Step 6: Final answer
    x = 79.22

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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.