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Finding the Fourth Proportional to 54.69, 81.65 and 47.05

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Solution

The fourth proportional to 54.69, 81.65 and 47.05 is: 70.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.69 : 81.65 = 47.05 : x
  2. Step 2: Convert to fraction form
    54.69/81.65 = 47.05/x
  3. Step 3: Cross multiply
    54.69x = 81.65 × 47.05
  4. Step 4: Simplify right side
    54.69x = 3,841.75
  5. Step 5: Solve for x
    x = 3,841.75/54.69
  6. Step 6: Final answer
    x = 70.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.