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Finding the Fourth Proportional to 72.94, 109.31 and 34.40

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Solution

The fourth proportional to 72.94, 109.31 and 34.40 is: 51.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.94 : 109.31 = 34.40 : x
  2. Step 2: Convert to fraction form
    72.94/109.31 = 34.40/x
  3. Step 3: Cross multiply
    72.94x = 109.31 × 34.40
  4. Step 4: Simplify right side
    72.94x = 3,760.30
  5. Step 5: Solve for x
    x = 3,760.30/72.94
  6. Step 6: Final answer
    x = 51.55

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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.