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Finding the Fourth Proportional to 76.43, 114.22 and 61.83

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Solution

The fourth proportional to 76.43, 114.22 and 61.83 is: 92.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.43 : 114.22 = 61.83 : x
  2. Step 2: Convert to fraction form
    76.43/114.22 = 61.83/x
  3. Step 3: Cross multiply
    76.43x = 114.22 × 61.83
  4. Step 4: Simplify right side
    76.43x = 7,062.22
  5. Step 5: Solve for x
    x = 7,062.22/76.43
  6. Step 6: Final answer
    x = 92.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.