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Finding the Fourth Proportional to 72.84, 109.41 and 59.43

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Solution

The fourth proportional to 72.84, 109.41 and 59.43 is: 89.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.84 : 109.41 = 59.43 : x
  2. Step 2: Convert to fraction form
    72.84/109.41 = 59.43/x
  3. Step 3: Cross multiply
    72.84x = 109.41 × 59.43
  4. Step 4: Simplify right side
    72.84x = 6,502.24
  5. Step 5: Solve for x
    x = 6,502.24/72.84
  6. Step 6: Final answer
    x = 89.27

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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.