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Finding the Fourth Proportional to 171.55, 236.79 and 106.02

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Solution

The fourth proportional to 171.55, 236.79 and 106.02 is: 146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.55 : 236.79 = 106.02 : x
  2. Step 2: Convert to fraction form
    171.55/236.79 = 106.02/x
  3. Step 3: Cross multiply
    171.55x = 236.79 × 106.02
  4. Step 4: Simplify right side
    171.55x = 25,104.28
  5. Step 5: Solve for x
    x = 25,104.28/171.55
  6. Step 6: Final answer
    x = 146.34

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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.