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Finding the Fourth Proportional to 76.86, 114.62 and 70.96

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Solution

The fourth proportional to 76.86, 114.62 and 70.96 is: 105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.86 : 114.62 = 70.96 : x
  2. Step 2: Convert to fraction form
    76.86/114.62 = 70.96/x
  3. Step 3: Cross multiply
    76.86x = 114.62 × 70.96
  4. Step 4: Simplify right side
    76.86x = 8,133.44
  5. Step 5: Solve for x
    x = 8,133.44/76.86
  6. Step 6: Final answer
    x = 105.82

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Why These Related Problems?

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