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Finding the Fourth Proportional to 65.84, 90.86 and 38.21

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Solution

The fourth proportional to 65.84, 90.86 and 38.21 is: 52.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.84 : 90.86 = 38.21 : x
  2. Step 2: Convert to fraction form
    65.84/90.86 = 38.21/x
  3. Step 3: Cross multiply
    65.84x = 90.86 × 38.21
  4. Step 4: Simplify right side
    65.84x = 3,471.76
  5. Step 5: Solve for x
    x = 3,471.76/65.84
  6. Step 6: Final answer
    x = 52.73

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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.