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Finding the Fourth Proportional to 43.97, 60.59 and 31.66

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Solution

The fourth proportional to 43.97, 60.59 and 31.66 is: 43.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.97 : 60.59 = 31.66 : x
  2. Step 2: Convert to fraction form
    43.97/60.59 = 31.66/x
  3. Step 3: Cross multiply
    43.97x = 60.59 × 31.66
  4. Step 4: Simplify right side
    43.97x = 1,918.46
  5. Step 5: Solve for x
    x = 1,918.46/43.97
  6. Step 6: Final answer
    x = 43.64

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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.