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Finding the Fourth Proportional to 111.22, 153.82 and 99.54

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Solution

The fourth proportional to 111.22, 153.82 and 99.54 is: 137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.22 : 153.82 = 99.54 : x
  2. Step 2: Convert to fraction form
    111.22/153.82 = 99.54/x
  3. Step 3: Cross multiply
    111.22x = 153.82 × 99.54
  4. Step 4: Simplify right side
    111.22x = 15,310.75
  5. Step 5: Solve for x
    x = 15,310.75/111.22
  6. Step 6: Final answer
    x = 137.67

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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.