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Finding the Fourth Proportional to 72.58, 100.17 and 43.09

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Solution

The fourth proportional to 72.58, 100.17 and 43.09 is: 59.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.58 : 100.17 = 43.09 : x
  2. Step 2: Convert to fraction form
    72.58/100.17 = 43.09/x
  3. Step 3: Cross multiply
    72.58x = 100.17 × 43.09
  4. Step 4: Simplify right side
    72.58x = 4,316.56
  5. Step 5: Solve for x
    x = 4,316.56/72.58
  6. Step 6: Final answer
    x = 59.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.