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Finding the Fourth Proportional to 111.12, 165.90 and 100.86

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Solution

The fourth proportional to 111.12, 165.90 and 100.86 is: 150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.12 : 165.90 = 100.86 : x
  2. Step 2: Convert to fraction form
    111.12/165.90 = 100.86/x
  3. Step 3: Cross multiply
    111.12x = 165.90 × 100.86
  4. Step 4: Simplify right side
    111.12x = 16,732.67
  5. Step 5: Solve for x
    x = 16,732.67/111.12
  6. Step 6: Final answer
    x = 150.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.