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Finding the Fourth Proportional to 111, 166.53 and 82.14

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Solution

The fourth proportional to 111, 166.53 and 82.14 is: 123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111 : 166.53 = 82.14 : x
  2. Step 2: Convert to fraction form
    111/166.53 = 82.14/x
  3. Step 3: Cross multiply
    111x = 166.53 × 82.14
  4. Step 4: Simplify right side
    111x = 13,678.77
  5. Step 5: Solve for x
    x = 13,678.77/111
  6. Step 6: Final answer
    x = 123.23

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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.