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Finding the Fourth Proportional to 72.59, 108.81 and 34.10

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Solution

The fourth proportional to 72.59, 108.81 and 34.10 is: 51.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.59 : 108.81 = 34.10 : x
  2. Step 2: Convert to fraction form
    72.59/108.81 = 34.10/x
  3. Step 3: Cross multiply
    72.59x = 108.81 × 34.10
  4. Step 4: Simplify right side
    72.59x = 3,709.88
  5. Step 5: Solve for x
    x = 3,709.88/72.59
  6. Step 6: Final answer
    x = 51.11

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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.