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Finding the Fourth Proportional to 111.53, 154.07 and 106.13

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Solution

The fourth proportional to 111.53, 154.07 and 106.13 is: 146.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.53 : 154.07 = 106.13 : x
  2. Step 2: Convert to fraction form
    111.53/154.07 = 106.13/x
  3. Step 3: Cross multiply
    111.53x = 154.07 × 106.13
  4. Step 4: Simplify right side
    111.53x = 16,351.45
  5. Step 5: Solve for x
    x = 16,351.45/111.53
  6. Step 6: Final answer
    x = 146.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.