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Finding the Fourth Proportional to 171.51, 236.69 and 106.10

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Solution

The fourth proportional to 171.51, 236.69 and 106.10 is: 146.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.51 : 236.69 = 106.10 : x
  2. Step 2: Convert to fraction form
    171.51/236.69 = 106.10/x
  3. Step 3: Cross multiply
    171.51x = 236.69 × 106.10
  4. Step 4: Simplify right side
    171.51x = 25,112.81
  5. Step 5: Solve for x
    x = 25,112.81/171.51
  6. Step 6: Final answer
    x = 146.42

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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.