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Finding the Fourth Proportional to 164.21, 226.62 and 90.53

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Solution

The fourth proportional to 164.21, 226.62 and 90.53 is: 124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.21 : 226.62 = 90.53 : x
  2. Step 2: Convert to fraction form
    164.21/226.62 = 90.53/x
  3. Step 3: Cross multiply
    164.21x = 226.62 × 90.53
  4. Step 4: Simplify right side
    164.21x = 20,515.91
  5. Step 5: Solve for x
    x = 20,515.91/164.21
  6. Step 6: Final answer
    x = 124.94

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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.