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Finding the Fourth Proportional to 77.65, 107.16 and 46.56

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Solution

The fourth proportional to 77.65, 107.16 and 46.56 is: 64.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.65 : 107.16 = 46.56 : x
  2. Step 2: Convert to fraction form
    77.65/107.16 = 46.56/x
  3. Step 3: Cross multiply
    77.65x = 107.16 × 46.56
  4. Step 4: Simplify right side
    77.65x = 4,989.37
  5. Step 5: Solve for x
    x = 4,989.37/77.65
  6. Step 6: Final answer
    x = 64.25

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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.