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Finding the Fourth Proportional to 72.68, 108.86 and 59.69

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Solution

The fourth proportional to 72.68, 108.86 and 59.69 is: 89.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.68 : 108.86 = 59.69 : x
  2. Step 2: Convert to fraction form
    72.68/108.86 = 59.69/x
  3. Step 3: Cross multiply
    72.68x = 108.86 × 59.69
  4. Step 4: Simplify right side
    72.68x = 6,498.22
  5. Step 5: Solve for x
    x = 6,498.22/72.68
  6. Step 6: Final answer
    x = 89.41

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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.