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Finding the Fourth Proportional to 111, 166.59 and 99.42

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Solution

The fourth proportional to 111, 166.59 and 99.42 is: 149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111 : 166.59 = 99.42 : x
  2. Step 2: Convert to fraction form
    111/166.59 = 99.42/x
  3. Step 3: Cross multiply
    111x = 166.59 × 99.42
  4. Step 4: Simplify right side
    111x = 16,562.38
  5. Step 5: Solve for x
    x = 16,562.38/111
  6. Step 6: Final answer
    x = 149.21

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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.