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Finding the Fourth Proportional to 40.93, 61.29 and 22.84

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Solution

The fourth proportional to 40.93, 61.29 and 22.84 is: 34.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.93 : 61.29 = 22.84 : x
  2. Step 2: Convert to fraction form
    40.93/61.29 = 22.84/x
  3. Step 3: Cross multiply
    40.93x = 61.29 × 22.84
  4. Step 4: Simplify right side
    40.93x = 1,399.86
  5. Step 5: Solve for x
    x = 1,399.86/40.93
  6. Step 6: Final answer
    x = 34.20

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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.