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Finding the Fourth Proportional to 111.00, 153.14 and 69.54

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Solution

The fourth proportional to 111.00, 153.14 and 69.54 is: 95.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.00 : 153.14 = 69.54 : x
  2. Step 2: Convert to fraction form
    111.00/153.14 = 69.54/x
  3. Step 3: Cross multiply
    111.00x = 153.14 × 69.54
  4. Step 4: Simplify right side
    111.00x = 10,648.43
  5. Step 5: Solve for x
    x = 10,648.43/111.00
  6. Step 6: Final answer
    x = 95.93

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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.