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Finding the Fourth Proportional to 98.31, 135.74 and 75.03

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Solution

The fourth proportional to 98.31, 135.74 and 75.03 is: 103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.31 : 135.74 = 75.03 : x
  2. Step 2: Convert to fraction form
    98.31/135.74 = 75.03/x
  3. Step 3: Cross multiply
    98.31x = 135.74 × 75.03
  4. Step 4: Simplify right side
    98.31x = 10,184.57
  5. Step 5: Solve for x
    x = 10,184.57/98.31
  6. Step 6: Final answer
    x = 103.60

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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.