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Finding the Fourth Proportional to 115.83, 159.89 and 69.19

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Solution

The fourth proportional to 115.83, 159.89 and 69.19 is: 95.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 159.89 = 69.19 : x
  2. Step 2: Convert to fraction form
    115.83/159.89 = 69.19/x
  3. Step 3: Cross multiply
    115.83x = 159.89 × 69.19
  4. Step 4: Simplify right side
    115.83x = 11,062.04
  5. Step 5: Solve for x
    x = 11,062.04/115.83
  6. Step 6: Final answer
    x = 95.50

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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.