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Finding the Fourth Proportional to 164.14, 226.51 and 90.45

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Solution

The fourth proportional to 164.14, 226.51 and 90.45 is: 124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.14 : 226.51 = 90.45 : x
  2. Step 2: Convert to fraction form
    164.14/226.51 = 90.45/x
  3. Step 3: Cross multiply
    164.14x = 226.51 × 90.45
  4. Step 4: Simplify right side
    164.14x = 20,488.51
  5. Step 5: Solve for x
    x = 20,488.51/164.14
  6. Step 6: Final answer
    x = 124.83

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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.