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Finding the Fourth Proportional to 72.72, 100.08 and 51.96

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Solution

The fourth proportional to 72.72, 100.08 and 51.96 is: 71.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.72 : 100.08 = 51.96 : x
  2. Step 2: Convert to fraction form
    72.72/100.08 = 51.96/x
  3. Step 3: Cross multiply
    72.72x = 100.08 × 51.96
  4. Step 4: Simplify right side
    72.72x = 5,200.16
  5. Step 5: Solve for x
    x = 5,200.16/72.72
  6. Step 6: Final answer
    x = 71.51

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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.