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Finding the Fourth Proportional to 76.90, 106.23 and 59.44

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Solution

The fourth proportional to 76.90, 106.23 and 59.44 is: 82.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.90 : 106.23 = 59.44 : x
  2. Step 2: Convert to fraction form
    76.90/106.23 = 59.44/x
  3. Step 3: Cross multiply
    76.90x = 106.23 × 59.44
  4. Step 4: Simplify right side
    76.90x = 6,314.31
  5. Step 5: Solve for x
    x = 6,314.31/76.90
  6. Step 6: Final answer
    x = 82.11

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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.