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Finding the Fourth Proportional to 111.28, 166.56 and 95.26

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Solution

The fourth proportional to 111.28, 166.56 and 95.26 is: 142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.28 : 166.56 = 95.26 : x
  2. Step 2: Convert to fraction form
    111.28/166.56 = 95.26/x
  3. Step 3: Cross multiply
    111.28x = 166.56 × 95.26
  4. Step 4: Simplify right side
    111.28x = 15,866.51
  5. Step 5: Solve for x
    x = 15,866.51/111.28
  6. Step 6: Final answer
    x = 142.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.