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Finding the Fourth Proportional to 98.41, 135.71 and 75.10

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Solution

The fourth proportional to 98.41, 135.71 and 75.10 is: 103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.41 : 135.71 = 75.10 : x
  2. Step 2: Convert to fraction form
    98.41/135.71 = 75.10/x
  3. Step 3: Cross multiply
    98.41x = 135.71 × 75.10
  4. Step 4: Simplify right side
    98.41x = 10,191.82
  5. Step 5: Solve for x
    x = 10,191.82/98.41
  6. Step 6: Final answer
    x = 103.56

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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.