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Finding the Fourth Proportional to 115.95, 159.79 and 96.21

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Solution

The fourth proportional to 115.95, 159.79 and 96.21 is: 132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.95 : 159.79 = 96.21 : x
  2. Step 2: Convert to fraction form
    115.95/159.79 = 96.21/x
  3. Step 3: Cross multiply
    115.95x = 159.79 × 96.21
  4. Step 4: Simplify right side
    115.95x = 15,373.40
  5. Step 5: Solve for x
    x = 15,373.40/115.95
  6. Step 6: Final answer
    x = 132.59

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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.