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Finding the Fourth Proportional to 111.48, 166.86 and 96.96

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Solution

The fourth proportional to 111.48, 166.86 and 96.96 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 166.86 = 96.96 : x
  2. Step 2: Convert to fraction form
    111.48/166.86 = 96.96/x
  3. Step 3: Cross multiply
    111.48x = 166.86 × 96.96
  4. Step 4: Simplify right side
    111.48x = 16,178.75
  5. Step 5: Solve for x
    x = 16,178.75/111.48
  6. Step 6: Final answer
    x = 145.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.