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Finding the Fourth Proportional to 111.53, 153.97 and 82.00

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Solution

The fourth proportional to 111.53, 153.97 and 82.00 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.53 : 153.97 = 82.00 : x
  2. Step 2: Convert to fraction form
    111.53/153.97 = 82.00/x
  3. Step 3: Cross multiply
    111.53x = 153.97 × 82.00
  4. Step 4: Simplify right side
    111.53x = 12,624.77
  5. Step 5: Solve for x
    x = 12,624.77/111.53
  6. Step 6: Final answer
    x = 113.20

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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.