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Finding the Fourth Proportional to 111.16, 153.48 and 82

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Solution

The fourth proportional to 111.16, 153.48 and 82 is: 113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.16 : 153.48 = 82 : x
  2. Step 2: Convert to fraction form
    111.16/153.48 = 82/x
  3. Step 3: Cross multiply
    111.16x = 153.48 × 82
  4. Step 4: Simplify right side
    111.16x = 12,585.36
  5. Step 5: Solve for x
    x = 12,585.36/111.16
  6. Step 6: Final answer
    x = 113.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.