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Finding the Fourth Proportional to 98.10, 135.24 and 75.96

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Solution

The fourth proportional to 98.10, 135.24 and 75.96 is: 104.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.10 : 135.24 = 75.96 : x
  2. Step 2: Convert to fraction form
    98.10/135.24 = 75.96/x
  3. Step 3: Cross multiply
    98.10x = 135.24 × 75.96
  4. Step 4: Simplify right side
    98.10x = 10,272.83
  5. Step 5: Solve for x
    x = 10,272.83/98.10
  6. Step 6: Final answer
    x = 104.72

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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.