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Finding the Fourth Proportional to 115.92, 159.72 and 83.16

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Solution

The fourth proportional to 115.92, 159.72 and 83.16 is: 114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.92 : 159.72 = 83.16 : x
  2. Step 2: Convert to fraction form
    115.92/159.72 = 83.16/x
  3. Step 3: Cross multiply
    115.92x = 159.72 × 83.16
  4. Step 4: Simplify right side
    115.92x = 13,282.32
  5. Step 5: Solve for x
    x = 13,282.32/115.92
  6. Step 6: Final answer
    x = 114.58

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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.