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Finding the Fourth Proportional to 72.64, 109.75 and 72

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Solution

The fourth proportional to 72.64, 109.75 and 72 is: 108.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.64 : 109.75 = 72 : x
  2. Step 2: Convert to fraction form
    72.64/109.75 = 72/x
  3. Step 3: Cross multiply
    72.64x = 109.75 × 72
  4. Step 4: Simplify right side
    72.64x = 7,902
  5. Step 5: Solve for x
    x = 7,902/72.64
  6. Step 6: Final answer
    x = 108.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.