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Finding the Fourth Proportional to 65.33, 97.88 and 54.43

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Solution

The fourth proportional to 65.33, 97.88 and 54.43 is: 81.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.33 : 97.88 = 54.43 : x
  2. Step 2: Convert to fraction form
    65.33/97.88 = 54.43/x
  3. Step 3: Cross multiply
    65.33x = 97.88 × 54.43
  4. Step 4: Simplify right side
    65.33x = 5,327.09
  5. Step 5: Solve for x
    x = 5,327.09/65.33
  6. Step 6: Final answer
    x = 81.54

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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.