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Finding the Fourth Proportional to 111.11, 152.62 and 101.12

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Solution

The fourth proportional to 111.11, 152.62 and 101.12 is: 138.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.11 : 152.62 = 101.12 : x
  2. Step 2: Convert to fraction form
    111.11/152.62 = 101.12/x
  3. Step 3: Cross multiply
    111.11x = 152.62 × 101.12
  4. Step 4: Simplify right side
    111.11x = 15,431.92
  5. Step 5: Solve for x
    x = 15,431.92/111.11
  6. Step 6: Final answer
    x = 138.89

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Why These Related Problems?

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