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Finding the Fourth Proportional to 98.20, 135.50 and 54.53

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Solution

The fourth proportional to 98.20, 135.50 and 54.53 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.20 : 135.50 = 54.53 : x
  2. Step 2: Convert to fraction form
    98.20/135.50 = 54.53/x
  3. Step 3: Cross multiply
    98.20x = 135.50 × 54.53
  4. Step 4: Simplify right side
    98.20x = 7,388.54
  5. Step 5: Solve for x
    x = 7,388.54/98.20
  6. Step 6: Final answer
    x = 75.24

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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.