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Finding the Fourth Proportional to 164.93, 227.61 and 98.52

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Solution

The fourth proportional to 164.93, 227.61 and 98.52 is: 135.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.93 : 227.61 = 98.52 : x
  2. Step 2: Convert to fraction form
    164.93/227.61 = 98.52/x
  3. Step 3: Cross multiply
    164.93x = 227.61 × 98.52
  4. Step 4: Simplify right side
    164.93x = 22,424.14
  5. Step 5: Solve for x
    x = 22,424.14/164.93
  6. Step 6: Final answer
    x = 135.97

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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.