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Finding the Fourth Proportional to 72.65, 100.14 and 59.56

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Solution

The fourth proportional to 72.65, 100.14 and 59.56 is: 82.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.65 : 100.14 = 59.56 : x
  2. Step 2: Convert to fraction form
    72.65/100.14 = 59.56/x
  3. Step 3: Cross multiply
    72.65x = 100.14 × 59.56
  4. Step 4: Simplify right side
    72.65x = 5,963.86
  5. Step 5: Solve for x
    x = 5,963.86/72.65
  6. Step 6: Final answer
    x = 82.09

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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.