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Finding the Fourth Proportional to 105.26, 157.11 and 98.15

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Solution

The fourth proportional to 105.26, 157.11 and 98.15 is: 146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.26 : 157.11 = 98.15 : x
  2. Step 2: Convert to fraction form
    105.26/157.11 = 98.15/x
  3. Step 3: Cross multiply
    105.26x = 157.11 × 98.15
  4. Step 4: Simplify right side
    105.26x = 15,419.56
  5. Step 5: Solve for x
    x = 15,419.56/105.26
  6. Step 6: Final answer
    x = 146.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.