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Finding the Fourth Proportional to 111.11, 153.23 and 86.54

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Solution

The fourth proportional to 111.11, 153.23 and 86.54 is: 119.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.11 : 153.23 = 86.54 : x
  2. Step 2: Convert to fraction form
    111.11/153.23 = 86.54/x
  3. Step 3: Cross multiply
    111.11x = 153.23 × 86.54
  4. Step 4: Simplify right side
    111.11x = 13,259.33
  5. Step 5: Solve for x
    x = 13,259.33/111.11
  6. Step 6: Final answer
    x = 119.34

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Why These Related Problems?

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