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Finding the Fourth Proportional to 53.49, 73.82 and 31.66

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Solution

The fourth proportional to 53.49, 73.82 and 31.66 is: 43.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.49 : 73.82 = 31.66 : x
  2. Step 2: Convert to fraction form
    53.49/73.82 = 31.66/x
  3. Step 3: Cross multiply
    53.49x = 73.82 × 31.66
  4. Step 4: Simplify right side
    53.49x = 2,337.14
  5. Step 5: Solve for x
    x = 2,337.14/53.49
  6. Step 6: Final answer
    x = 43.69

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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.