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Finding the Fourth Proportional to 164.64, 227.07 and 106.32

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Solution

The fourth proportional to 164.64, 227.07 and 106.32 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.64 : 227.07 = 106.32 : x
  2. Step 2: Convert to fraction form
    164.64/227.07 = 106.32/x
  3. Step 3: Cross multiply
    164.64x = 227.07 × 106.32
  4. Step 4: Simplify right side
    164.64x = 24,142.08
  5. Step 5: Solve for x
    x = 24,142.08/164.64
  6. Step 6: Final answer
    x = 146.64

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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.