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Finding the Fourth Proportional to 111.52, 166.49 and 105.28

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Solution

The fourth proportional to 111.52, 166.49 and 105.28 is: 157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.52 : 166.49 = 105.28 : x
  2. Step 2: Convert to fraction form
    111.52/166.49 = 105.28/x
  3. Step 3: Cross multiply
    111.52x = 166.49 × 105.28
  4. Step 4: Simplify right side
    111.52x = 17,528.07
  5. Step 5: Solve for x
    x = 17,528.07/111.52
  6. Step 6: Final answer
    x = 157.17

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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.