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Finding the Fourth Proportional to 40.70, 56.12 and 31.50

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Solution

The fourth proportional to 40.70, 56.12 and 31.50 is: 43.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.70 : 56.12 = 31.50 : x
  2. Step 2: Convert to fraction form
    40.70/56.12 = 31.50/x
  3. Step 3: Cross multiply
    40.70x = 56.12 × 31.50
  4. Step 4: Simplify right side
    40.70x = 1,767.78
  5. Step 5: Solve for x
    x = 1,767.78/40.70
  6. Step 6: Final answer
    x = 43.43

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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.