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Finding the Fourth Proportional to 72.83, 109.25 and 21.48

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Solution

The fourth proportional to 72.83, 109.25 and 21.48 is: 32.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.83 : 109.25 = 21.48 : x
  2. Step 2: Convert to fraction form
    72.83/109.25 = 21.48/x
  3. Step 3: Cross multiply
    72.83x = 109.25 × 21.48
  4. Step 4: Simplify right side
    72.83x = 2,346.58
  5. Step 5: Solve for x
    x = 2,346.58/72.83
  6. Step 6: Final answer
    x = 32.22

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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.