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Finding the Fourth Proportional to 171.71, 236.98 and 105.32

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Solution

The fourth proportional to 171.71, 236.98 and 105.32 is: 145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.71 : 236.98 = 105.32 : x
  2. Step 2: Convert to fraction form
    171.71/236.98 = 105.32/x
  3. Step 3: Cross multiply
    171.71x = 236.98 × 105.32
  4. Step 4: Simplify right side
    171.71x = 24,958.73
  5. Step 5: Solve for x
    x = 24,958.73/171.71
  6. Step 6: Final answer
    x = 145.35

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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.