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Finding the Fourth Proportional to 54.35, 74.84 and 46.15

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Solution

The fourth proportional to 54.35, 74.84 and 46.15 is: 63.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.35 : 74.84 = 46.15 : x
  2. Step 2: Convert to fraction form
    54.35/74.84 = 46.15/x
  3. Step 3: Cross multiply
    54.35x = 74.84 × 46.15
  4. Step 4: Simplify right side
    54.35x = 3,453.87
  5. Step 5: Solve for x
    x = 3,453.87/54.35
  6. Step 6: Final answer
    x = 63.55

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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.