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Finding the Fourth Proportional to 76.45, 105.41 and 55.66

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Solution

The fourth proportional to 76.45, 105.41 and 55.66 is: 76.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.45 : 105.41 = 55.66 : x
  2. Step 2: Convert to fraction form
    76.45/105.41 = 55.66/x
  3. Step 3: Cross multiply
    76.45x = 105.41 × 55.66
  4. Step 4: Simplify right side
    76.45x = 5,867.12
  5. Step 5: Solve for x
    x = 5,867.12/76.45
  6. Step 6: Final answer
    x = 76.74

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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.