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Finding the Fourth Proportional to 67.02, 92.26 and 57.76

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Solution

The fourth proportional to 67.02, 92.26 and 57.76 is: 79.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.02 : 92.26 = 57.76 : x
  2. Step 2: Convert to fraction form
    67.02/92.26 = 57.76/x
  3. Step 3: Cross multiply
    67.02x = 92.26 × 57.76
  4. Step 4: Simplify right side
    67.02x = 5,328.55
  5. Step 5: Solve for x
    x = 5,328.55/67.02
  6. Step 6: Final answer
    x = 79.51

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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.