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Finding the Fourth Proportional to 67.70, 93.34 and 57.17

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Solution

The fourth proportional to 67.70, 93.34 and 57.17 is: 78.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.70 : 93.34 = 57.17 : x
  2. Step 2: Convert to fraction form
    67.70/93.34 = 57.17/x
  3. Step 3: Cross multiply
    67.70x = 93.34 × 57.17
  4. Step 4: Simplify right side
    67.70x = 5,336.25
  5. Step 5: Solve for x
    x = 5,336.25/67.70
  6. Step 6: Final answer
    x = 78.82

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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.