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Finding the Fourth Proportional to 55.54, 76.74 and 46.78

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Solution

The fourth proportional to 55.54, 76.74 and 46.78 is: 64.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.54 : 76.74 = 46.78 : x
  2. Step 2: Convert to fraction form
    55.54/76.74 = 46.78/x
  3. Step 3: Cross multiply
    55.54x = 76.74 × 46.78
  4. Step 4: Simplify right side
    55.54x = 3,589.90
  5. Step 5: Solve for x
    x = 3,589.90/55.54
  6. Step 6: Final answer
    x = 64.64

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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.