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Finding the Fourth Proportional to 76.25, 105.14 and 59.69

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Solution

The fourth proportional to 76.25, 105.14 and 59.69 is: 82.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.25 : 105.14 = 59.69 : x
  2. Step 2: Convert to fraction form
    76.25/105.14 = 59.69/x
  3. Step 3: Cross multiply
    76.25x = 105.14 × 59.69
  4. Step 4: Simplify right side
    76.25x = 6,274.98
  5. Step 5: Solve for x
    x = 6,274.98/76.25
  6. Step 6: Final answer
    x = 82.30

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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.