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Finding the Fourth Proportional to 72.09, 99.50 and 59.13

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Solution

The fourth proportional to 72.09, 99.50 and 59.13 is: 81.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.09 : 99.50 = 59.13 : x
  2. Step 2: Convert to fraction form
    72.09/99.50 = 59.13/x
  3. Step 3: Cross multiply
    72.09x = 99.50 × 59.13
  4. Step 4: Simplify right side
    72.09x = 5,883.14
  5. Step 5: Solve for x
    x = 5,883.14/72.09
  6. Step 6: Final answer
    x = 81.61

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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.