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Finding the Fourth Proportional to 72.65, 100.20 and 50.89

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Solution

The fourth proportional to 72.65, 100.20 and 50.89 is: 70.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.65 : 100.20 = 50.89 : x
  2. Step 2: Convert to fraction form
    72.65/100.20 = 50.89/x
  3. Step 3: Cross multiply
    72.65x = 100.20 × 50.89
  4. Step 4: Simplify right side
    72.65x = 5,099.18
  5. Step 5: Solve for x
    x = 5,099.18/72.65
  6. Step 6: Final answer
    x = 70.19

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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.