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Finding the Fourth Proportional to 109.72, 164.34 and 73.48

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Solution

The fourth proportional to 109.72, 164.34 and 73.48 is: 110.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.72 : 164.34 = 73.48 : x
  2. Step 2: Convert to fraction form
    109.72/164.34 = 73.48/x
  3. Step 3: Cross multiply
    109.72x = 164.34 × 73.48
  4. Step 4: Simplify right side
    109.72x = 12,075.70
  5. Step 5: Solve for x
    x = 12,075.70/109.72
  6. Step 6: Final answer
    x = 110.06

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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.