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Finding the Fourth Proportional to 73.35, 109.98 and 27.06

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Solution

The fourth proportional to 73.35, 109.98 and 27.06 is: 40.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.35 : 109.98 = 27.06 : x
  2. Step 2: Convert to fraction form
    73.35/109.98 = 27.06/x
  3. Step 3: Cross multiply
    73.35x = 109.98 × 27.06
  4. Step 4: Simplify right side
    73.35x = 2,976.06
  5. Step 5: Solve for x
    x = 2,976.06/73.35
  6. Step 6: Final answer
    x = 40.57

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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.