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Finding the Fourth Proportional to 40.49, 56.04 and 39.48

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Solution

The fourth proportional to 40.49, 56.04 and 39.48 is: 54.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.49 : 56.04 = 39.48 : x
  2. Step 2: Convert to fraction form
    40.49/56.04 = 39.48/x
  3. Step 3: Cross multiply
    40.49x = 56.04 × 39.48
  4. Step 4: Simplify right side
    40.49x = 2,212.46
  5. Step 5: Solve for x
    x = 2,212.46/40.49
  6. Step 6: Final answer
    x = 54.64

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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.