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Finding the Fourth Proportional to 111.18, 166.55 and 82.35

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Solution

The fourth proportional to 111.18, 166.55 and 82.35 is: 123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.18 : 166.55 = 82.35 : x
  2. Step 2: Convert to fraction form
    111.18/166.55 = 82.35/x
  3. Step 3: Cross multiply
    111.18x = 166.55 × 82.35
  4. Step 4: Simplify right side
    111.18x = 13,714.98
  5. Step 5: Solve for x
    x = 13,714.98/111.18
  6. Step 6: Final answer
    x = 123.36

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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.