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Finding the Fourth Proportional to 76.99, 106.24 and 42.49

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Solution

The fourth proportional to 76.99, 106.24 and 42.49 is: 58.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.99 : 106.24 = 42.49 : x
  2. Step 2: Convert to fraction form
    76.99/106.24 = 42.49/x
  3. Step 3: Cross multiply
    76.99x = 106.24 × 42.49
  4. Step 4: Simplify right side
    76.99x = 4,514.14
  5. Step 5: Solve for x
    x = 4,514.14/76.99
  6. Step 6: Final answer
    x = 58.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.