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Finding the Fourth Proportional to 40.79, 56.03 and 34.64

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Solution

The fourth proportional to 40.79, 56.03 and 34.64 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.79 : 56.03 = 34.64 : x
  2. Step 2: Convert to fraction form
    40.79/56.03 = 34.64/x
  3. Step 3: Cross multiply
    40.79x = 56.03 × 34.64
  4. Step 4: Simplify right side
    40.79x = 1,940.43
  5. Step 5: Solve for x
    x = 1,940.43/40.79
  6. Step 6: Final answer
    x = 47.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.