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Finding the Fourth Proportional to 76.93, 106.16 and 44.17

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Solution

The fourth proportional to 76.93, 106.16 and 44.17 is: 60.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.93 : 106.16 = 44.17 : x
  2. Step 2: Convert to fraction form
    76.93/106.16 = 44.17/x
  3. Step 3: Cross multiply
    76.93x = 106.16 × 44.17
  4. Step 4: Simplify right side
    76.93x = 4,688.60
  5. Step 5: Solve for x
    x = 4,688.60/76.93
  6. Step 6: Final answer
    x = 60.95

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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.