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Finding the Fourth Proportional to 164.87, 227.57 and 99.42

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Solution

The fourth proportional to 164.87, 227.57 and 99.42 is: 137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.87 : 227.57 = 99.42 : x
  2. Step 2: Convert to fraction form
    164.87/227.57 = 99.42/x
  3. Step 3: Cross multiply
    164.87x = 227.57 × 99.42
  4. Step 4: Simplify right side
    164.87x = 22,624.51
  5. Step 5: Solve for x
    x = 22,624.51/164.87
  6. Step 6: Final answer
    x = 137.22

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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.