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Finding the Fourth Proportional to 67.53, 93.21 and 53.04

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Solution

The fourth proportional to 67.53, 93.21 and 53.04 is: 73.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.53 : 93.21 = 53.04 : x
  2. Step 2: Convert to fraction form
    67.53/93.21 = 53.04/x
  3. Step 3: Cross multiply
    67.53x = 93.21 × 53.04
  4. Step 4: Simplify right side
    67.53x = 4,943.86
  5. Step 5: Solve for x
    x = 4,943.86/67.53
  6. Step 6: Final answer
    x = 73.21

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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.