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Finding the Fourth Proportional to 40.08, 59.64 and 38.81

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Solution

The fourth proportional to 40.08, 59.64 and 38.81 is: 57.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.08 : 59.64 = 38.81 : x
  2. Step 2: Convert to fraction form
    40.08/59.64 = 38.81/x
  3. Step 3: Cross multiply
    40.08x = 59.64 × 38.81
  4. Step 4: Simplify right side
    40.08x = 2,314.33
  5. Step 5: Solve for x
    x = 2,314.33/40.08
  6. Step 6: Final answer
    x = 57.74

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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.