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Finding the Fourth Proportional to 114.21, 171.42 and 82.17

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Solution

The fourth proportional to 114.21, 171.42 and 82.17 is: 123.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.21 : 171.42 = 82.17 : x
  2. Step 2: Convert to fraction form
    114.21/171.42 = 82.17/x
  3. Step 3: Cross multiply
    114.21x = 171.42 × 82.17
  4. Step 4: Simplify right side
    114.21x = 14,085.58
  5. Step 5: Solve for x
    x = 14,085.58/114.21
  6. Step 6: Final answer
    x = 123.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.