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Finding the Fourth Proportional to 98.12, 135.39 and 54.45

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Solution

The fourth proportional to 98.12, 135.39 and 54.45 is: 75.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.12 : 135.39 = 54.45 : x
  2. Step 2: Convert to fraction form
    98.12/135.39 = 54.45/x
  3. Step 3: Cross multiply
    98.12x = 135.39 × 54.45
  4. Step 4: Simplify right side
    98.12x = 7,371.99
  5. Step 5: Solve for x
    x = 7,371.99/98.12
  6. Step 6: Final answer
    x = 75.14

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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.