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Finding the Fourth Proportional to 40.84, 56.76 and 40.33

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Solution

The fourth proportional to 40.84, 56.76 and 40.33 is: 56.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.84 : 56.76 = 40.33 : x
  2. Step 2: Convert to fraction form
    40.84/56.76 = 40.33/x
  3. Step 3: Cross multiply
    40.84x = 56.76 × 40.33
  4. Step 4: Simplify right side
    40.84x = 2,288.93
  5. Step 5: Solve for x
    x = 2,288.93/40.84
  6. Step 6: Final answer
    x = 56.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.