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Finding the Fourth Proportional to 76.20, 105.17 and 43.46

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Solution

The fourth proportional to 76.20, 105.17 and 43.46 is: 59.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.20 : 105.17 = 43.46 : x
  2. Step 2: Convert to fraction form
    76.20/105.17 = 43.46/x
  3. Step 3: Cross multiply
    76.20x = 105.17 × 43.46
  4. Step 4: Simplify right side
    76.20x = 4,570.69
  5. Step 5: Solve for x
    x = 4,570.69/76.20
  6. Step 6: Final answer
    x = 59.98

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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.