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Finding the Fourth Proportional to 76.45, 105.51 and 41.95

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Solution

The fourth proportional to 76.45, 105.51 and 41.95 is: 57.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.45 : 105.51 = 41.95 : x
  2. Step 2: Convert to fraction form
    76.45/105.51 = 41.95/x
  3. Step 3: Cross multiply
    76.45x = 105.51 × 41.95
  4. Step 4: Simplify right side
    76.45x = 4,426.33
  5. Step 5: Solve for x
    x = 4,426.33/76.45
  6. Step 6: Final answer
    x = 57.90

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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.