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Finding the Fourth Proportional to 40.56, 55.90 and 31.34

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Solution

The fourth proportional to 40.56, 55.90 and 31.34 is: 43.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.56 : 55.90 = 31.34 : x
  2. Step 2: Convert to fraction form
    40.56/55.90 = 31.34/x
  3. Step 3: Cross multiply
    40.56x = 55.90 × 31.34
  4. Step 4: Simplify right side
    40.56x = 1,751.91
  5. Step 5: Solve for x
    x = 1,751.91/40.56
  6. Step 6: Final answer
    x = 43.19

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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.