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Finding the Fourth Proportional to 72.68, 109.04 and 32.09

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Solution

The fourth proportional to 72.68, 109.04 and 32.09 is: 48.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.68 : 109.04 = 32.09 : x
  2. Step 2: Convert to fraction form
    72.68/109.04 = 32.09/x
  3. Step 3: Cross multiply
    72.68x = 109.04 × 32.09
  4. Step 4: Simplify right side
    72.68x = 3,498.93
  5. Step 5: Solve for x
    x = 3,498.93/72.68
  6. Step 6: Final answer
    x = 48.14

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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.