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Finding the Fourth Proportional to 40.50, 55.78 and 32.74

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Solution

The fourth proportional to 40.50, 55.78 and 32.74 is: 45.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.50 : 55.78 = 32.74 : x
  2. Step 2: Convert to fraction form
    40.50/55.78 = 32.74/x
  3. Step 3: Cross multiply
    40.50x = 55.78 × 32.74
  4. Step 4: Simplify right side
    40.50x = 1,826.02
  5. Step 5: Solve for x
    x = 1,826.02/40.50
  6. Step 6: Final answer
    x = 45.09

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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.