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Finding the Fourth Proportional to 65.34, 98.01 and 36.44

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Solution

The fourth proportional to 65.34, 98.01 and 36.44 is: 54.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.34 : 98.01 = 36.44 : x
  2. Step 2: Convert to fraction form
    65.34/98.01 = 36.44/x
  3. Step 3: Cross multiply
    65.34x = 98.01 × 36.44
  4. Step 4: Simplify right side
    65.34x = 3,571.48
  5. Step 5: Solve for x
    x = 3,571.48/65.34
  6. Step 6: Final answer
    x = 54.66

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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.