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Finding the Fourth Proportional to 67.70, 93.40 and 41.84

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Solution

The fourth proportional to 67.70, 93.40 and 41.84 is: 57.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 93.40 = 41.84 : x
  2. Step 2: Convert to fraction form
    67.70/93.40 = 41.84/x
  3. Step 3: Cross multiply
    67.70x = 93.40 × 41.84
  4. Step 4: Simplify right side
    67.70x = 3,907.28
  5. Step 5: Solve for x
    x = 3,907.28/67.70
  6. Step 6: Final answer
    x = 57.72

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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.