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Finding the Fourth Proportional to 164.47, 226.95 and 90.77

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Solution

The fourth proportional to 164.47, 226.95 and 90.77 is: 125.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.47 : 226.95 = 90.77 : x
  2. Step 2: Convert to fraction form
    164.47/226.95 = 90.77/x
  3. Step 3: Cross multiply
    164.47x = 226.95 × 90.77
  4. Step 4: Simplify right side
    164.47x = 20,600.25
  5. Step 5: Solve for x
    x = 20,600.25/164.47
  6. Step 6: Final answer
    x = 125.26

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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.