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Finding the Fourth Proportional to 45.43, 67.83 and 37.84

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Solution

The fourth proportional to 45.43, 67.83 and 37.84 is: 56.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.43 : 67.83 = 37.84 : x
  2. Step 2: Convert to fraction form
    45.43/67.83 = 37.84/x
  3. Step 3: Cross multiply
    45.43x = 67.83 × 37.84
  4. Step 4: Simplify right side
    45.43x = 2,566.69
  5. Step 5: Solve for x
    x = 2,566.69/45.43
  6. Step 6: Final answer
    x = 56.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.