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Finding the Fourth Proportional to 164.53, 227.04 and 94.58

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Solution

The fourth proportional to 164.53, 227.04 and 94.58 is: 130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 227.04 = 94.58 : x
  2. Step 2: Convert to fraction form
    164.53/227.04 = 94.58/x
  3. Step 3: Cross multiply
    164.53x = 227.04 × 94.58
  4. Step 4: Simplify right side
    164.53x = 21,473.44
  5. Step 5: Solve for x
    x = 21,473.44/164.53
  6. Step 6: Final answer
    x = 130.51

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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.