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Finding the Fourth Proportional to 106.84, 160.14 and 78.04

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Solution

The fourth proportional to 106.84, 160.14 and 78.04 is: 116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.84 : 160.14 = 78.04 : x
  2. Step 2: Convert to fraction form
    106.84/160.14 = 78.04/x
  3. Step 3: Cross multiply
    106.84x = 160.14 × 78.04
  4. Step 4: Simplify right side
    106.84x = 12,497.33
  5. Step 5: Solve for x
    x = 12,497.33/106.84
  6. Step 6: Final answer
    x = 116.97

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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.