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Finding the Fourth Proportional to 76.96, 106.23 and 59.50

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Solution

The fourth proportional to 76.96, 106.23 and 59.50 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.96 : 106.23 = 59.50 : x
  2. Step 2: Convert to fraction form
    76.96/106.23 = 59.50/x
  3. Step 3: Cross multiply
    76.96x = 106.23 × 59.50
  4. Step 4: Simplify right side
    76.96x = 6,320.69
  5. Step 5: Solve for x
    x = 6,320.69/76.96
  6. Step 6: Final answer
    x = 82.13

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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.