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Finding the Fourth Proportional to 76.34, 114.22 and 43.86

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Solution

The fourth proportional to 76.34, 114.22 and 43.86 is: 65.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 114.22 = 43.86 : x
  2. Step 2: Convert to fraction form
    76.34/114.22 = 43.86/x
  3. Step 3: Cross multiply
    76.34x = 114.22 × 43.86
  4. Step 4: Simplify right side
    76.34x = 5,008.90
  5. Step 5: Solve for x
    x = 5,008.90/76.34
  6. Step 6: Final answer
    x = 65.61

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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.