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Finding the Fourth Proportional to 171.78, 237.06 and 106.32

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Solution

The fourth proportional to 171.78, 237.06 and 106.32 is: 146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.78 : 237.06 = 106.32 : x
  2. Step 2: Convert to fraction form
    171.78/237.06 = 106.32/x
  3. Step 3: Cross multiply
    171.78x = 237.06 × 106.32
  4. Step 4: Simplify right side
    171.78x = 25,204.22
  5. Step 5: Solve for x
    x = 25,204.22/171.78
  6. Step 6: Final answer
    x = 146.72

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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.