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Finding the Fourth Proportional to 98.42, 135.82 and 54.75

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Solution

The fourth proportional to 98.42, 135.82 and 54.75 is: 75.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 135.82 = 54.75 : x
  2. Step 2: Convert to fraction form
    98.42/135.82 = 54.75/x
  3. Step 3: Cross multiply
    98.42x = 135.82 × 54.75
  4. Step 4: Simplify right side
    98.42x = 7,435.91
  5. Step 5: Solve for x
    x = 7,435.91/98.42
  6. Step 6: Final answer
    x = 75.56

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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.