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Finding the Fourth Proportional to 111.52, 153.83 and 86.65

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Solution

The fourth proportional to 111.52, 153.83 and 86.65 is: 119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.52 : 153.83 = 86.65 : x
  2. Step 2: Convert to fraction form
    111.52/153.83 = 86.65/x
  3. Step 3: Cross multiply
    111.52x = 153.83 × 86.65
  4. Step 4: Simplify right side
    111.52x = 13,329.20
  5. Step 5: Solve for x
    x = 13,329.20/111.52
  6. Step 6: Final answer
    x = 119.52

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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.