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Finding the Fourth Proportional to 185.32, 255.75 and 106.64

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Solution

The fourth proportional to 185.32, 255.75 and 106.64 is: 147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.32 : 255.75 = 106.64 : x
  2. Step 2: Convert to fraction form
    185.32/255.75 = 106.64/x
  3. Step 3: Cross multiply
    185.32x = 255.75 × 106.64
  4. Step 4: Simplify right side
    185.32x = 27,272.04
  5. Step 5: Solve for x
    x = 27,272.04/185.32
  6. Step 6: Final answer
    x = 147.16

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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.