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Finding the Fourth Proportional to 75.72, 104.76 and 72.72

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Solution

The fourth proportional to 75.72, 104.76 and 72.72 is: 100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.72 : 104.76 = 72.72 : x
  2. Step 2: Convert to fraction form
    75.72/104.76 = 72.72/x
  3. Step 3: Cross multiply
    75.72x = 104.76 × 72.72
  4. Step 4: Simplify right side
    75.72x = 7,618.15
  5. Step 5: Solve for x
    x = 7,618.15/75.72
  6. Step 6: Final answer
    x = 100.61

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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.