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Finding the Fourth Proportional to 111.15, 165.85 and 93.15

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Solution

The fourth proportional to 111.15, 165.85 and 93.15 is: 138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.15 : 165.85 = 93.15 : x
  2. Step 2: Convert to fraction form
    111.15/165.85 = 93.15/x
  3. Step 3: Cross multiply
    111.15x = 165.85 × 93.15
  4. Step 4: Simplify right side
    111.15x = 15,448.69
  5. Step 5: Solve for x
    x = 15,448.69/111.15
  6. Step 6: Final answer
    x = 138.99

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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.