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Finding the Fourth Proportional to 111.45, 166.36 and 96.06

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Solution

The fourth proportional to 111.45, 166.36 and 96.06 is: 143.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.45 : 166.36 = 96.06 : x
  2. Step 2: Convert to fraction form
    111.45/166.36 = 96.06/x
  3. Step 3: Cross multiply
    111.45x = 166.36 × 96.06
  4. Step 4: Simplify right side
    111.45x = 15,980.30
  5. Step 5: Solve for x
    x = 15,980.30/111.45
  6. Step 6: Final answer
    x = 143.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.