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Finding the Fourth Proportional to 71.22, 106.78 and 40.78

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Solution

The fourth proportional to 71.22, 106.78 and 40.78 is: 61.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.22 : 106.78 = 40.78 : x
  2. Step 2: Convert to fraction form
    71.22/106.78 = 40.78/x
  3. Step 3: Cross multiply
    71.22x = 106.78 × 40.78
  4. Step 4: Simplify right side
    71.22x = 4,354.49
  5. Step 5: Solve for x
    x = 4,354.49/71.22
  6. Step 6: Final answer
    x = 61.14

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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.