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Finding the Fourth Proportional to 73.15, 109.62 and 32.56

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Solution

The fourth proportional to 73.15, 109.62 and 32.56 is: 48.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.15 : 109.62 = 32.56 : x
  2. Step 2: Convert to fraction form
    73.15/109.62 = 32.56/x
  3. Step 3: Cross multiply
    73.15x = 109.62 × 32.56
  4. Step 4: Simplify right side
    73.15x = 3,568.95
  5. Step 5: Solve for x
    x = 3,568.95/73.15
  6. Step 6: Final answer
    x = 48.79

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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.