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Finding the Fourth Proportional to 50.70, 75.71 and 43.77

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Solution

The fourth proportional to 50.70, 75.71 and 43.77 is: 65.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.70 : 75.71 = 43.77 : x
  2. Step 2: Convert to fraction form
    50.70/75.71 = 43.77/x
  3. Step 3: Cross multiply
    50.70x = 75.71 × 43.77
  4. Step 4: Simplify right side
    50.70x = 3,313.83
  5. Step 5: Solve for x
    x = 3,313.83/50.70
  6. Step 6: Final answer
    x = 65.36

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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.