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Finding the Fourth Proportional to 101.91, 140.84 and 98.07

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Solution

The fourth proportional to 101.91, 140.84 and 98.07 is: 135.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.91 : 140.84 = 98.07 : x
  2. Step 2: Convert to fraction form
    101.91/140.84 = 98.07/x
  3. Step 3: Cross multiply
    101.91x = 140.84 × 98.07
  4. Step 4: Simplify right side
    101.91x = 13,811.72
  5. Step 5: Solve for x
    x = 13,811.72/101.91
  6. Step 6: Final answer
    x = 135.54

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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.