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Finding the Fourth Proportional to 171.58, 236.73 and 106.02

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Solution

The fourth proportional to 171.58, 236.73 and 106.02 is: 146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.58 : 236.73 = 106.02 : x
  2. Step 2: Convert to fraction form
    171.58/236.73 = 106.02/x
  3. Step 3: Cross multiply
    171.58x = 236.73 × 106.02
  4. Step 4: Simplify right side
    171.58x = 25,098.11
  5. Step 5: Solve for x
    x = 25,098.11/171.58
  6. Step 6: Final answer
    x = 146.28

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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.