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Finding the Fourth Proportional to 71.24, 106.86 and 51.12

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Solution

The fourth proportional to 71.24, 106.86 and 51.12 is: 76.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.24 : 106.86 = 51.12 : x
  2. Step 2: Convert to fraction form
    71.24/106.86 = 51.12/x
  3. Step 3: Cross multiply
    71.24x = 106.86 × 51.12
  4. Step 4: Simplify right side
    71.24x = 5,462.68
  5. Step 5: Solve for x
    x = 5,462.68/71.24
  6. Step 6: Final answer
    x = 76.68

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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.