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Finding the Fourth Proportional to 76.83, 106.04 and 44.08

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Solution

The fourth proportional to 76.83, 106.04 and 44.08 is: 60.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.83 : 106.04 = 44.08 : x
  2. Step 2: Convert to fraction form
    76.83/106.04 = 44.08/x
  3. Step 3: Cross multiply
    76.83x = 106.04 × 44.08
  4. Step 4: Simplify right side
    76.83x = 4,673.76
  5. Step 5: Solve for x
    x = 4,673.76/76.83
  6. Step 6: Final answer
    x = 60.83

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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.