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Finding the Fourth Proportional to 164.22, 226.61 and 90.53

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Solution

The fourth proportional to 164.22, 226.61 and 90.53 is: 124.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.22 : 226.61 = 90.53 : x
  2. Step 2: Convert to fraction form
    164.22/226.61 = 90.53/x
  3. Step 3: Cross multiply
    164.22x = 226.61 × 90.53
  4. Step 4: Simplify right side
    164.22x = 20,513.42
  5. Step 5: Solve for x
    x = 20,513.42/164.22
  6. Step 6: Final answer
    x = 124.92

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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.