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Finding the Fourth Proportional to 77.09, 115.55 and 42.84

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Solution

The fourth proportional to 77.09, 115.55 and 42.84 is: 64.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 115.55 = 42.84 : x
  2. Step 2: Convert to fraction form
    77.09/115.55 = 42.84/x
  3. Step 3: Cross multiply
    77.09x = 115.55 × 42.84
  4. Step 4: Simplify right side
    77.09x = 4,949.37
  5. Step 5: Solve for x
    x = 4,949.37/77.09
  6. Step 6: Final answer
    x = 64.20

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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.