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Finding the Fourth Proportional to 54.09, 74.47 and 47.77

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Solution

The fourth proportional to 54.09, 74.47 and 47.77 is: 65.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.09 : 74.47 = 47.77 : x
  2. Step 2: Convert to fraction form
    54.09/74.47 = 47.77/x
  3. Step 3: Cross multiply
    54.09x = 74.47 × 47.77
  4. Step 4: Simplify right side
    54.09x = 3,557.43
  5. Step 5: Solve for x
    x = 3,557.43/54.09
  6. Step 6: Final answer
    x = 65.77

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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.