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Finding the Fourth Proportional to 76.93, 106.17 and 45.85

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Solution

The fourth proportional to 76.93, 106.17 and 45.85 is: 63.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.93 : 106.17 = 45.85 : x
  2. Step 2: Convert to fraction form
    76.93/106.17 = 45.85/x
  3. Step 3: Cross multiply
    76.93x = 106.17 × 45.85
  4. Step 4: Simplify right side
    76.93x = 4,867.89
  5. Step 5: Solve for x
    x = 4,867.89/76.93
  6. Step 6: Final answer
    x = 63.28

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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.