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Finding the Fourth Proportional to 115.98, 159.38 and 96.54

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Solution

The fourth proportional to 115.98, 159.38 and 96.54 is: 132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.98 : 159.38 = 96.54 : x
  2. Step 2: Convert to fraction form
    115.98/159.38 = 96.54/x
  3. Step 3: Cross multiply
    115.98x = 159.38 × 96.54
  4. Step 4: Simplify right side
    115.98x = 15,386.06
  5. Step 5: Solve for x
    x = 15,386.06/115.98
  6. Step 6: Final answer
    x = 132.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.