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Finding the Fourth Proportional to 171.02, 236.00 and 97.35

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Solution

The fourth proportional to 171.02, 236.00 and 97.35 is: 134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.02 : 236.00 = 97.35 : x
  2. Step 2: Convert to fraction form
    171.02/236.00 = 97.35/x
  3. Step 3: Cross multiply
    171.02x = 236.00 × 97.35
  4. Step 4: Simplify right side
    171.02x = 22,974.11
  5. Step 5: Solve for x
    x = 22,974.11/171.02
  6. Step 6: Final answer
    x = 134.34

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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.