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Finding the Fourth Proportional to 111.45, 153.72 and 85.23

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Solution

The fourth proportional to 111.45, 153.72 and 85.23 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.45 : 153.72 = 85.23 : x
  2. Step 2: Convert to fraction form
    111.45/153.72 = 85.23/x
  3. Step 3: Cross multiply
    111.45x = 153.72 × 85.23
  4. Step 4: Simplify right side
    111.45x = 13,101.56
  5. Step 5: Solve for x
    x = 13,101.56/111.45
  6. Step 6: Final answer
    x = 117.56

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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.