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Finding the Fourth Proportional to 50.77, 75.74 and 45.64

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Solution

The fourth proportional to 50.77, 75.74 and 45.64 is: 68.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.77 : 75.74 = 45.64 : x
  2. Step 2: Convert to fraction form
    50.77/75.74 = 45.64/x
  3. Step 3: Cross multiply
    50.77x = 75.74 × 45.64
  4. Step 4: Simplify right side
    50.77x = 3,456.77
  5. Step 5: Solve for x
    x = 3,456.77/50.77
  6. Step 6: Final answer
    x = 68.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.