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Finding the Fourth Proportional to 67.80, 93.24 and 54.53

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Solution

The fourth proportional to 67.80, 93.24 and 54.53 is: 74.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.80 : 93.24 = 54.53 : x
  2. Step 2: Convert to fraction form
    67.80/93.24 = 54.53/x
  3. Step 3: Cross multiply
    67.80x = 93.24 × 54.53
  4. Step 4: Simplify right side
    67.80x = 5,083.91
  5. Step 5: Solve for x
    x = 5,083.91/67.80
  6. Step 6: Final answer
    x = 74.98

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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.