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Finding the Fourth Proportional to 111.46, 153.78 and 72.12

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Solution

The fourth proportional to 111.46, 153.78 and 72.12 is: 99.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.46 : 153.78 = 72.12 : x
  2. Step 2: Convert to fraction form
    111.46/153.78 = 72.12/x
  3. Step 3: Cross multiply
    111.46x = 153.78 × 72.12
  4. Step 4: Simplify right side
    111.46x = 11,091.10
  5. Step 5: Solve for x
    x = 11,091.10/111.46
  6. Step 6: Final answer
    x = 99.51

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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.