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Finding the Fourth Proportional to 106.34, 146.58 and 80.42

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Solution

The fourth proportional to 106.34, 146.58 and 80.42 is: 110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.34 : 146.58 = 80.42 : x
  2. Step 2: Convert to fraction form
    106.34/146.58 = 80.42/x
  3. Step 3: Cross multiply
    106.34x = 146.58 × 80.42
  4. Step 4: Simplify right side
    106.34x = 11,787.96
  5. Step 5: Solve for x
    x = 11,787.96/106.34
  6. Step 6: Final answer
    x = 110.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.