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Finding the Fourth Proportional to 65.26, 97.43 and 54.46

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Solution

The fourth proportional to 65.26, 97.43 and 54.46 is: 81.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.26 : 97.43 = 54.46 : x
  2. Step 2: Convert to fraction form
    65.26/97.43 = 54.46/x
  3. Step 3: Cross multiply
    65.26x = 97.43 × 54.46
  4. Step 4: Simplify right side
    65.26x = 5,306.04
  5. Step 5: Solve for x
    x = 5,306.04/65.26
  6. Step 6: Final answer
    x = 81.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.