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Finding the Fourth Proportional to 164.98, 227.67 and 99.52

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Solution

The fourth proportional to 164.98, 227.67 and 99.52 is: 137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.98 : 227.67 = 99.52 : x
  2. Step 2: Convert to fraction form
    164.98/227.67 = 99.52/x
  3. Step 3: Cross multiply
    164.98x = 227.67 × 99.52
  4. Step 4: Simplify right side
    164.98x = 22,657.72
  5. Step 5: Solve for x
    x = 22,657.72/164.98
  6. Step 6: Final answer
    x = 137.34

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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.