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Finding the Fourth Proportional to 65.33, 97.80 and 38.24

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Solution

The fourth proportional to 65.33, 97.80 and 38.24 is: 57.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.33 : 97.80 = 38.24 : x
  2. Step 2: Convert to fraction form
    65.33/97.80 = 38.24/x
  3. Step 3: Cross multiply
    65.33x = 97.80 × 38.24
  4. Step 4: Simplify right side
    65.33x = 3,739.87
  5. Step 5: Solve for x
    x = 3,739.87/65.33
  6. Step 6: Final answer
    x = 57.25

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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.