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Finding the Fourth Proportional to 40.83, 56.42 and 31.66

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Solution

The fourth proportional to 40.83, 56.42 and 31.66 is: 43.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.83 : 56.42 = 31.66 : x
  2. Step 2: Convert to fraction form
    40.83/56.42 = 31.66/x
  3. Step 3: Cross multiply
    40.83x = 56.42 × 31.66
  4. Step 4: Simplify right side
    40.83x = 1,786.26
  5. Step 5: Solve for x
    x = 1,786.26/40.83
  6. Step 6: Final answer
    x = 43.75

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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.