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Finding the Fourth Proportional to 164.90, 227.40 and 109.60

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Solution

The fourth proportional to 164.90, 227.40 and 109.60 is: 151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.90 : 227.40 = 109.60 : x
  2. Step 2: Convert to fraction form
    164.90/227.40 = 109.60/x
  3. Step 3: Cross multiply
    164.90x = 227.40 × 109.60
  4. Step 4: Simplify right side
    164.90x = 24,923.04
  5. Step 5: Solve for x
    x = 24,923.04/164.90
  6. Step 6: Final answer
    x = 151.14

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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.