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Finding the Fourth Proportional to 65.33, 97.84 and 34.82

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Solution

The fourth proportional to 65.33, 97.84 and 34.82 is: 52.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.33 : 97.84 = 34.82 : x
  2. Step 2: Convert to fraction form
    65.33/97.84 = 34.82/x
  3. Step 3: Cross multiply
    65.33x = 97.84 × 34.82
  4. Step 4: Simplify right side
    65.33x = 3,406.79
  5. Step 5: Solve for x
    x = 3,406.79/65.33
  6. Step 6: Final answer
    x = 52.15

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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.