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Finding the Fourth Proportional to 164.13, 226.52 and 101.98

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Solution

The fourth proportional to 164.13, 226.52 and 101.98 is: 140.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.13 : 226.52 = 101.98 : x
  2. Step 2: Convert to fraction form
    164.13/226.52 = 101.98/x
  3. Step 3: Cross multiply
    164.13x = 226.52 × 101.98
  4. Step 4: Simplify right side
    164.13x = 23,100.51
  5. Step 5: Solve for x
    x = 23,100.51/164.13
  6. Step 6: Final answer
    x = 140.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.