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Finding the Fourth Proportional to 77.15, 106.46 and 46.07

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Solution

The fourth proportional to 77.15, 106.46 and 46.07 is: 63.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.15 : 106.46 = 46.07 : x
  2. Step 2: Convert to fraction form
    77.15/106.46 = 46.07/x
  3. Step 3: Cross multiply
    77.15x = 106.46 × 46.07
  4. Step 4: Simplify right side
    77.15x = 4,903.85
  5. Step 5: Solve for x
    x = 4,903.85/77.15
  6. Step 6: Final answer
    x = 63.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.