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Finding the Fourth Proportional to 76.20, 105 and 59.82

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Solution

The fourth proportional to 76.20, 105 and 59.82 is: 82.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.20 : 105 = 59.82 : x
  2. Step 2: Convert to fraction form
    76.20/105 = 59.82/x
  3. Step 3: Cross multiply
    76.20x = 105 × 59.82
  4. Step 4: Simplify right side
    76.20x = 6,281.10
  5. Step 5: Solve for x
    x = 6,281.10/76.20
  6. Step 6: Final answer
    x = 82.43

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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.