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Finding the Fourth Proportional to 109.80, 164.55 and 90.66

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Solution

The fourth proportional to 109.80, 164.55 and 90.66 is: 135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.80 : 164.55 = 90.66 : x
  2. Step 2: Convert to fraction form
    109.80/164.55 = 90.66/x
  3. Step 3: Cross multiply
    109.80x = 164.55 × 90.66
  4. Step 4: Simplify right side
    109.80x = 14,918.10
  5. Step 5: Solve for x
    x = 14,918.10/109.80
  6. Step 6: Final answer
    x = 135.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.