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Finding the Fourth Proportional to 72.64, 109.01 and 29.30

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Solution

The fourth proportional to 72.64, 109.01 and 29.30 is: 43.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.64 : 109.01 = 29.30 : x
  2. Step 2: Convert to fraction form
    72.64/109.01 = 29.30/x
  3. Step 3: Cross multiply
    72.64x = 109.01 × 29.30
  4. Step 4: Simplify right side
    72.64x = 3,193.99
  5. Step 5: Solve for x
    x = 3,193.99/72.64
  6. Step 6: Final answer
    x = 43.97

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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.