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Finding the Fourth Proportional to 40.70, 56.13 and 35.84

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Solution

The fourth proportional to 40.70, 56.13 and 35.84 is: 49.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.70 : 56.13 = 35.84 : x
  2. Step 2: Convert to fraction form
    40.70/56.13 = 35.84/x
  3. Step 3: Cross multiply
    40.70x = 56.13 × 35.84
  4. Step 4: Simplify right side
    40.70x = 2,011.70
  5. Step 5: Solve for x
    x = 2,011.70/40.70
  6. Step 6: Final answer
    x = 49.43

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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.