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Finding the Fourth Proportional to 76.71, 114.22 and 75.56

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Solution

The fourth proportional to 76.71, 114.22 and 75.56 is: 112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.71 : 114.22 = 75.56 : x
  2. Step 2: Convert to fraction form
    76.71/114.22 = 75.56/x
  3. Step 3: Cross multiply
    76.71x = 114.22 × 75.56
  4. Step 4: Simplify right side
    76.71x = 8,629.70
  5. Step 5: Solve for x
    x = 8,629.70/76.71
  6. Step 6: Final answer
    x = 112.50

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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.