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Finding the Fourth Proportional to 164.99, 227.75 and 109.71

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Solution

The fourth proportional to 164.99, 227.75 and 109.71 is: 151.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.99 : 227.75 = 109.71 : x
  2. Step 2: Convert to fraction form
    164.99/227.75 = 109.71/x
  3. Step 3: Cross multiply
    164.99x = 227.75 × 109.71
  4. Step 4: Simplify right side
    164.99x = 24,984.77
  5. Step 5: Solve for x
    x = 24,984.77/164.99
  6. Step 6: Final answer
    x = 151.44

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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.