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Finding the Fourth Proportional to 115.44, 159 and 106.32

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Solution

The fourth proportional to 115.44, 159 and 106.32 is: 146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.44 : 159 = 106.32 : x
  2. Step 2: Convert to fraction form
    115.44/159 = 106.32/x
  3. Step 3: Cross multiply
    115.44x = 159 × 106.32
  4. Step 4: Simplify right side
    115.44x = 16,904.88
  5. Step 5: Solve for x
    x = 16,904.88/115.44
  6. Step 6: Final answer
    x = 146.44

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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.