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Finding the Fourth Proportional to 64.53, 97.07 and 53.73

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Solution

The fourth proportional to 64.53, 97.07 and 53.73 is: 80.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.53 : 97.07 = 53.73 : x
  2. Step 2: Convert to fraction form
    64.53/97.07 = 53.73/x
  3. Step 3: Cross multiply
    64.53x = 97.07 × 53.73
  4. Step 4: Simplify right side
    64.53x = 5,215.30
  5. Step 5: Solve for x
    x = 5,215.30/64.53
  6. Step 6: Final answer
    x = 80.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.