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Finding the Fourth Proportional to 77.19, 115.71 and 50.16

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Solution

The fourth proportional to 77.19, 115.71 and 50.16 is: 75.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.19 : 115.71 = 50.16 : x
  2. Step 2: Convert to fraction form
    77.19/115.71 = 50.16/x
  3. Step 3: Cross multiply
    77.19x = 115.71 × 50.16
  4. Step 4: Simplify right side
    77.19x = 5,804.01
  5. Step 5: Solve for x
    x = 5,804.01/77.19
  6. Step 6: Final answer
    x = 75.19

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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.