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Finding the Fourth Proportional to 111.48, 152.73 and 107.16

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Solution

The fourth proportional to 111.48, 152.73 and 107.16 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 152.73 = 107.16 : x
  2. Step 2: Convert to fraction form
    111.48/152.73 = 107.16/x
  3. Step 3: Cross multiply
    111.48x = 152.73 × 107.16
  4. Step 4: Simplify right side
    111.48x = 16,366.55
  5. Step 5: Solve for x
    x = 16,366.55/111.48
  6. Step 6: Final answer
    x = 146.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.