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Finding the Fourth Proportional to 72.71, 109.08 and 42.22

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Solution

The fourth proportional to 72.71, 109.08 and 42.22 is: 63.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.71 : 109.08 = 42.22 : x
  2. Step 2: Convert to fraction form
    72.71/109.08 = 42.22/x
  3. Step 3: Cross multiply
    72.71x = 109.08 × 42.22
  4. Step 4: Simplify right side
    72.71x = 4,605.36
  5. Step 5: Solve for x
    x = 4,605.36/72.71
  6. Step 6: Final answer
    x = 63.34

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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.