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Finding the Fourth Proportional to 111.59, 153.82 and 88.17

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Solution

The fourth proportional to 111.59, 153.82 and 88.17 is: 121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.59 : 153.82 = 88.17 : x
  2. Step 2: Convert to fraction form
    111.59/153.82 = 88.17/x
  3. Step 3: Cross multiply
    111.59x = 153.82 × 88.17
  4. Step 4: Simplify right side
    111.59x = 13,562.31
  5. Step 5: Solve for x
    x = 13,562.31/111.59
  6. Step 6: Final answer
    x = 121.54

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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.