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Finding the Fourth Proportional to 115.37, 159.05 and 98.73

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Solution

The fourth proportional to 115.37, 159.05 and 98.73 is: 136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.37 : 159.05 = 98.73 : x
  2. Step 2: Convert to fraction form
    115.37/159.05 = 98.73/x
  3. Step 3: Cross multiply
    115.37x = 159.05 × 98.73
  4. Step 4: Simplify right side
    115.37x = 15,702.51
  5. Step 5: Solve for x
    x = 15,702.51/115.37
  6. Step 6: Final answer
    x = 136.11

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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.