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Finding the Fourth Proportional to 105.15, 157.31 and 98.78

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Solution

The fourth proportional to 105.15, 157.31 and 98.78 is: 147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.15 : 157.31 = 98.78 : x
  2. Step 2: Convert to fraction form
    105.15/157.31 = 98.78/x
  3. Step 3: Cross multiply
    105.15x = 157.31 × 98.78
  4. Step 4: Simplify right side
    105.15x = 15,537.80
  5. Step 5: Solve for x
    x = 15,537.80/105.15
  6. Step 6: Final answer
    x = 147.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.