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Finding the Fourth Proportional to 53.67, 73.67 and 47.71

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Solution

The fourth proportional to 53.67, 73.67 and 47.71 is: 65.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.67 : 73.67 = 47.71 : x
  2. Step 2: Convert to fraction form
    53.67/73.67 = 47.71/x
  3. Step 3: Cross multiply
    53.67x = 73.67 × 47.71
  4. Step 4: Simplify right side
    53.67x = 3,514.19
  5. Step 5: Solve for x
    x = 3,514.19/53.67
  6. Step 6: Final answer
    x = 65.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.