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Finding the Fourth Proportional to 164.69, 227.36 and 106.51

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Solution

The fourth proportional to 164.69, 227.36 and 106.51 is: 147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.69 : 227.36 = 106.51 : x
  2. Step 2: Convert to fraction form
    164.69/227.36 = 106.51/x
  3. Step 3: Cross multiply
    164.69x = 227.36 × 106.51
  4. Step 4: Simplify right side
    164.69x = 24,216.28
  5. Step 5: Solve for x
    x = 24,216.28/164.69
  6. Step 6: Final answer
    x = 147.04

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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.