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Finding the Fourth Proportional to 98.21, 135.46 and 77.48

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Solution

The fourth proportional to 98.21, 135.46 and 77.48 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.21 : 135.46 = 77.48 : x
  2. Step 2: Convert to fraction form
    98.21/135.46 = 77.48/x
  3. Step 3: Cross multiply
    98.21x = 135.46 × 77.48
  4. Step 4: Simplify right side
    98.21x = 10,495.03
  5. Step 5: Solve for x
    x = 10,495.03/98.21
  6. Step 6: Final answer
    x = 106.87

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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.