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Finding the Fourth Proportional to 45.16, 67.74 and 20.81

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Solution

The fourth proportional to 45.16, 67.74 and 20.81 is: 31.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.16 : 67.74 = 20.81 : x
  2. Step 2: Convert to fraction form
    45.16/67.74 = 20.81/x
  3. Step 3: Cross multiply
    45.16x = 67.74 × 20.81
  4. Step 4: Simplify right side
    45.16x = 1,409.38
  5. Step 5: Solve for x
    x = 1,409.38/45.16
  6. Step 6: Final answer
    x = 31.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.