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Finding the Fourth Proportional to 111.90, 166.97 and 93.90

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Solution

The fourth proportional to 111.90, 166.97 and 93.90 is: 140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.90 : 166.97 = 93.90 : x
  2. Step 2: Convert to fraction form
    111.90/166.97 = 93.90/x
  3. Step 3: Cross multiply
    111.90x = 166.97 × 93.90
  4. Step 4: Simplify right side
    111.90x = 15,678.01
  5. Step 5: Solve for x
    x = 15,678.01/111.90
  6. Step 6: Final answer
    x = 140.11

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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.