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Finding the Fourth Proportional to 71.37, 106.85 and 43.88

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Solution

The fourth proportional to 71.37, 106.85 and 43.88 is: 65.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.37 : 106.85 = 43.88 : x
  2. Step 2: Convert to fraction form
    71.37/106.85 = 43.88/x
  3. Step 3: Cross multiply
    71.37x = 106.85 × 43.88
  4. Step 4: Simplify right side
    71.37x = 4,688.15
  5. Step 5: Solve for x
    x = 4,688.15/71.37
  6. Step 6: Final answer
    x = 65.69

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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.