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Finding the Fourth Proportional to 67.40, 101 and 33.14

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Solution

The fourth proportional to 67.40, 101 and 33.14 is: 49.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.40 : 101 = 33.14 : x
  2. Step 2: Convert to fraction form
    67.40/101 = 33.14/x
  3. Step 3: Cross multiply
    67.40x = 101 × 33.14
  4. Step 4: Simplify right side
    67.40x = 3,347.14
  5. Step 5: Solve for x
    x = 3,347.14/67.40
  6. Step 6: Final answer
    x = 49.66

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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.