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Finding the Fourth Proportional to 98.07, 135.35 and 75.98

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Solution

The fourth proportional to 98.07, 135.35 and 75.98 is: 104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.07 : 135.35 = 75.98 : x
  2. Step 2: Convert to fraction form
    98.07/135.35 = 75.98/x
  3. Step 3: Cross multiply
    98.07x = 135.35 × 75.98
  4. Step 4: Simplify right side
    98.07x = 10,282.84
  5. Step 5: Solve for x
    x = 10,282.84/98.07
  6. Step 6: Final answer
    x = 104.85

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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.