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Finding the Fourth Proportional to 65.12, 98.18 and 54.56

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Solution

The fourth proportional to 65.12, 98.18 and 54.56 is: 82.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.12 : 98.18 = 54.56 : x
  2. Step 2: Convert to fraction form
    65.12/98.18 = 54.56/x
  3. Step 3: Cross multiply
    65.12x = 98.18 × 54.56
  4. Step 4: Simplify right side
    65.12x = 5,356.70
  5. Step 5: Solve for x
    x = 5,356.70/65.12
  6. Step 6: Final answer
    x = 82.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.