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Finding the Fourth Proportional to 67.56, 93.36 and 57.84

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Solution

The fourth proportional to 67.56, 93.36 and 57.84 is: 79.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.56 : 93.36 = 57.84 : x
  2. Step 2: Convert to fraction form
    67.56/93.36 = 57.84/x
  3. Step 3: Cross multiply
    67.56x = 93.36 × 57.84
  4. Step 4: Simplify right side
    67.56x = 5,399.94
  5. Step 5: Solve for x
    x = 5,399.94/67.56
  6. Step 6: Final answer
    x = 79.93

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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.