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Finding the Fourth Proportional to 55.44, 76.51 and 46.69

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Solution

The fourth proportional to 55.44, 76.51 and 46.69 is: 64.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.44 : 76.51 = 46.69 : x
  2. Step 2: Convert to fraction form
    55.44/76.51 = 46.69/x
  3. Step 3: Cross multiply
    55.44x = 76.51 × 46.69
  4. Step 4: Simplify right side
    55.44x = 3,571.87
  5. Step 5: Solve for x
    x = 3,571.87/55.44
  6. Step 6: Final answer
    x = 64.43

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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.