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Finding the Fourth Proportional to 65.23, 97.86 and 32.73

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Solution

The fourth proportional to 65.23, 97.86 and 32.73 is: 49.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.23 : 97.86 = 32.73 : x
  2. Step 2: Convert to fraction form
    65.23/97.86 = 32.73/x
  3. Step 3: Cross multiply
    65.23x = 97.86 × 32.73
  4. Step 4: Simplify right side
    65.23x = 3,202.96
  5. Step 5: Solve for x
    x = 3,202.96/65.23
  6. Step 6: Final answer
    x = 49.10

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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.