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Finding the Fourth Proportional to 40.74, 56.17 and 31.51

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Solution

The fourth proportional to 40.74, 56.17 and 31.51 is: 43.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.74 : 56.17 = 31.51 : x
  2. Step 2: Convert to fraction form
    40.74/56.17 = 31.51/x
  3. Step 3: Cross multiply
    40.74x = 56.17 × 31.51
  4. Step 4: Simplify right side
    40.74x = 1,770.03
  5. Step 5: Solve for x
    x = 1,770.03/40.74
  6. Step 6: Final answer
    x = 43.45

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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.