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Finding the Fourth Proportional to 40.10, 55.08 and 32.81

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Solution

The fourth proportional to 40.10, 55.08 and 32.81 is: 45.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.10 : 55.08 = 32.81 : x
  2. Step 2: Convert to fraction form
    40.10/55.08 = 32.81/x
  3. Step 3: Cross multiply
    40.10x = 55.08 × 32.81
  4. Step 4: Simplify right side
    40.10x = 1,806.90
  5. Step 5: Solve for x
    x = 1,806.90/40.10
  6. Step 6: Final answer
    x = 45.07

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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.