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Finding the Fourth Proportional to 67.03, 92.24 and 51.42

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Solution

The fourth proportional to 67.03, 92.24 and 51.42 is: 70.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.03 : 92.24 = 51.42 : x
  2. Step 2: Convert to fraction form
    67.03/92.24 = 51.42/x
  3. Step 3: Cross multiply
    67.03x = 92.24 × 51.42
  4. Step 4: Simplify right side
    67.03x = 4,742.74
  5. Step 5: Solve for x
    x = 4,742.74/67.03
  6. Step 6: Final answer
    x = 70.76

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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.