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Finding the Fourth Proportional to 50.77, 75.79 and 47.02

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Solution

The fourth proportional to 50.77, 75.79 and 47.02 is: 70.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.77 : 75.79 = 47.02 : x
  2. Step 2: Convert to fraction form
    50.77/75.79 = 47.02/x
  3. Step 3: Cross multiply
    50.77x = 75.79 × 47.02
  4. Step 4: Simplify right side
    50.77x = 3,563.27
  5. Step 5: Solve for x
    x = 3,563.27/50.77
  6. Step 6: Final answer
    x = 70.18

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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.