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Finding the Fourth Proportional to 76.68, 114.18 and 75.77

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Solution

The fourth proportional to 76.68, 114.18 and 75.77 is: 112.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.68 : 114.18 = 75.77 : x
  2. Step 2: Convert to fraction form
    76.68/114.18 = 75.77/x
  3. Step 3: Cross multiply
    76.68x = 114.18 × 75.77
  4. Step 4: Simplify right side
    76.68x = 8,650.85
  5. Step 5: Solve for x
    x = 8,650.85/76.68
  6. Step 6: Final answer
    x = 112.82

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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.