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Finding the Fourth Proportional to 77.42, 115.96 and 46.90

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Solution

The fourth proportional to 77.42, 115.96 and 46.90 is: 70.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 115.96 = 46.90 : x
  2. Step 2: Convert to fraction form
    77.42/115.96 = 46.90/x
  3. Step 3: Cross multiply
    77.42x = 115.96 × 46.90
  4. Step 4: Simplify right side
    77.42x = 5,438.52
  5. Step 5: Solve for x
    x = 5,438.52/77.42
  6. Step 6: Final answer
    x = 70.25

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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.