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Finding the Fourth Proportional to 50.94, 76.40 and 43.65

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Solution

The fourth proportional to 50.94, 76.40 and 43.65 is: 65.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.94 : 76.40 = 43.65 : x
  2. Step 2: Convert to fraction form
    50.94/76.40 = 43.65/x
  3. Step 3: Cross multiply
    50.94x = 76.40 × 43.65
  4. Step 4: Simplify right side
    50.94x = 3,334.64
  5. Step 5: Solve for x
    x = 3,334.64/50.94
  6. Step 6: Final answer
    x = 65.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.