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Finding the Fourth Proportional to 67.53, 92.76 and 58.23

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Solution

The fourth proportional to 67.53, 92.76 and 58.23 is: 79.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.53 : 92.76 = 58.23 : x
  2. Step 2: Convert to fraction form
    67.53/92.76 = 58.23/x
  3. Step 3: Cross multiply
    67.53x = 92.76 × 58.23
  4. Step 4: Simplify right side
    67.53x = 5,401.41
  5. Step 5: Solve for x
    x = 5,401.41/67.53
  6. Step 6: Final answer
    x = 79.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.