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Finding the Fourth Proportional to 76.22, 113.51 and 75.74

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Solution

The fourth proportional to 76.22, 113.51 and 75.74 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.22 : 113.51 = 75.74 : x
  2. Step 2: Convert to fraction form
    76.22/113.51 = 75.74/x
  3. Step 3: Cross multiply
    76.22x = 113.51 × 75.74
  4. Step 4: Simplify right side
    76.22x = 8,597.25
  5. Step 5: Solve for x
    x = 8,597.25/76.22
  6. Step 6: Final answer
    x = 112.80

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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.