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Finding the Fourth Proportional to 72.64, 109.01 and 32.05

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Solution

The fourth proportional to 72.64, 109.01 and 32.05 is: 48.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.64 : 109.01 = 32.05 : x
  2. Step 2: Convert to fraction form
    72.64/109.01 = 32.05/x
  3. Step 3: Cross multiply
    72.64x = 109.01 × 32.05
  4. Step 4: Simplify right side
    72.64x = 3,493.77
  5. Step 5: Solve for x
    x = 3,493.77/72.64
  6. Step 6: Final answer
    x = 48.10

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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.