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Finding the Fourth Proportional to 67.43, 101 and 46.86

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Solution

The fourth proportional to 67.43, 101 and 46.86 is: 70.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.43 : 101 = 46.86 : x
  2. Step 2: Convert to fraction form
    67.43/101 = 46.86/x
  3. Step 3: Cross multiply
    67.43x = 101 × 46.86
  4. Step 4: Simplify right side
    67.43x = 4,732.86
  5. Step 5: Solve for x
    x = 4,732.86/67.43
  6. Step 6: Final answer
    x = 70.19

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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.