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Finding the Fourth Proportional to 72.78, 109.12 and 67.38

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Solution

The fourth proportional to 72.78, 109.12 and 67.38 is: 101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.78 : 109.12 = 67.38 : x
  2. Step 2: Convert to fraction form
    72.78/109.12 = 67.38/x
  3. Step 3: Cross multiply
    72.78x = 109.12 × 67.38
  4. Step 4: Simplify right side
    72.78x = 7,352.51
  5. Step 5: Solve for x
    x = 7,352.51/72.78
  6. Step 6: Final answer
    x = 101.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.