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Finding the Fourth Proportional to 171.55, 236.62 and 109.40

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Solution

The fourth proportional to 171.55, 236.62 and 109.40 is: 150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.55 : 236.62 = 109.40 : x
  2. Step 2: Convert to fraction form
    171.55/236.62 = 109.40/x
  3. Step 3: Cross multiply
    171.55x = 236.62 × 109.40
  4. Step 4: Simplify right side
    171.55x = 25,885.63
  5. Step 5: Solve for x
    x = 25,885.63/171.55
  6. Step 6: Final answer
    x = 150.89

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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.