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Finding the Fourth Proportional to 76.14, 114.38 and 71.14

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Solution

The fourth proportional to 76.14, 114.38 and 71.14 is: 106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 114.38 = 71.14 : x
  2. Step 2: Convert to fraction form
    76.14/114.38 = 71.14/x
  3. Step 3: Cross multiply
    76.14x = 114.38 × 71.14
  4. Step 4: Simplify right side
    76.14x = 8,136.99
  5. Step 5: Solve for x
    x = 8,136.99/76.14
  6. Step 6: Final answer
    x = 106.87

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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.