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Finding the Fourth Proportional to 53.63, 73.96 and 47.41

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Solution

The fourth proportional to 53.63, 73.96 and 47.41 is: 65.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.63 : 73.96 = 47.41 : x
  2. Step 2: Convert to fraction form
    53.63/73.96 = 47.41/x
  3. Step 3: Cross multiply
    53.63x = 73.96 × 47.41
  4. Step 4: Simplify right side
    53.63x = 3,506.48
  5. Step 5: Solve for x
    x = 3,506.48/53.63
  6. Step 6: Final answer
    x = 65.38

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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.