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Finding the Fourth Proportional to 67.13, 92.75 and 53.42

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Solution

The fourth proportional to 67.13, 92.75 and 53.42 is: 73.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.13 : 92.75 = 53.42 : x
  2. Step 2: Convert to fraction form
    67.13/92.75 = 53.42/x
  3. Step 3: Cross multiply
    67.13x = 92.75 × 53.42
  4. Step 4: Simplify right side
    67.13x = 4,954.27
  5. Step 5: Solve for x
    x = 4,954.27/67.13
  6. Step 6: Final answer
    x = 73.80

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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.