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Finding the Fourth Proportional to 67.14, 100.59 and 46.78

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Solution

The fourth proportional to 67.14, 100.59 and 46.78 is: 70.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.14 : 100.59 = 46.78 : x
  2. Step 2: Convert to fraction form
    67.14/100.59 = 46.78/x
  3. Step 3: Cross multiply
    67.14x = 100.59 × 46.78
  4. Step 4: Simplify right side
    67.14x = 4,705.60
  5. Step 5: Solve for x
    x = 4,705.60/67.14
  6. Step 6: Final answer
    x = 70.09

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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.