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Finding the Fourth Proportional to 68.29, 94.01 and 53.52

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Solution

The fourth proportional to 68.29, 94.01 and 53.52 is: 73.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.29 : 94.01 = 53.52 : x
  2. Step 2: Convert to fraction form
    68.29/94.01 = 53.52/x
  3. Step 3: Cross multiply
    68.29x = 94.01 × 53.52
  4. Step 4: Simplify right side
    68.29x = 5,031.42
  5. Step 5: Solve for x
    x = 5,031.42/68.29
  6. Step 6: Final answer
    x = 73.68

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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.