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Finding the Fourth Proportional to 67.64, 93.22 and 53.12

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Solution

The fourth proportional to 67.64, 93.22 and 53.12 is: 73.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 93.22 = 53.12 : x
  2. Step 2: Convert to fraction form
    67.64/93.22 = 53.12/x
  3. Step 3: Cross multiply
    67.64x = 93.22 × 53.12
  4. Step 4: Simplify right side
    67.64x = 4,951.85
  5. Step 5: Solve for x
    x = 4,951.85/67.64
  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.