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Finding the Fourth Proportional to 68.00, 93.84 and 53.42

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Solution

The fourth proportional to 68.00, 93.84 and 53.42 is: 73.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.00 : 93.84 = 53.42 : x
  2. Step 2: Convert to fraction form
    68.00/93.84 = 53.42/x
  3. Step 3: Cross multiply
    68.00x = 93.84 × 53.42
  4. Step 4: Simplify right side
    68.00x = 5,012.20
  5. Step 5: Solve for x
    x = 5,012.20/68.00
  6. Step 6: Final answer
    x = 73.71

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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.