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Finding the Fourth Proportional to 115.91, 159.82 and 99.51

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Solution

The fourth proportional to 115.91, 159.82 and 99.51 is: 137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.91 : 159.82 = 99.51 : x
  2. Step 2: Convert to fraction form
    115.91/159.82 = 99.51/x
  3. Step 3: Cross multiply
    115.91x = 159.82 × 99.51
  4. Step 4: Simplify right side
    115.91x = 15,903.44
  5. Step 5: Solve for x
    x = 15,903.44/115.91
  6. Step 6: Final answer
    x = 137.20

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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.