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Finding the Fourth Proportional to 76, 113.76 and 71.44

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Solution

The fourth proportional to 76, 113.76 and 71.44 is: 106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76 : 113.76 = 71.44 : x
  2. Step 2: Convert to fraction form
    76/113.76 = 71.44/x
  3. Step 3: Cross multiply
    76x = 113.76 × 71.44
  4. Step 4: Simplify right side
    76x = 8,127.01
  5. Step 5: Solve for x
    x = 8,127.01/76
  6. Step 6: Final answer
    x = 106.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.