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Finding the Fourth Proportional to 111.19, 166.76 and 42.69

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Solution

The fourth proportional to 111.19, 166.76 and 42.69 is: 64.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.19 : 166.76 = 42.69 : x
  2. Step 2: Convert to fraction form
    111.19/166.76 = 42.69/x
  3. Step 3: Cross multiply
    111.19x = 166.76 × 42.69
  4. Step 4: Simplify right side
    111.19x = 7,118.31
  5. Step 5: Solve for x
    x = 7,118.31/111.19
  6. Step 6: Final answer
    x = 64.02

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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.