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Finding the Fourth Proportional to 164.76, 227.36 and 106.54

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Solution

The fourth proportional to 164.76, 227.36 and 106.54 is: 147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.76 : 227.36 = 106.54 : x
  2. Step 2: Convert to fraction form
    164.76/227.36 = 106.54/x
  3. Step 3: Cross multiply
    164.76x = 227.36 × 106.54
  4. Step 4: Simplify right side
    164.76x = 24,223.48
  5. Step 5: Solve for x
    x = 24,223.48/164.76
  6. Step 6: Final answer
    x = 147.02

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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.