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Finding the Fourth Proportional to 35.43, 48.89 and 22.32

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Solution

The fourth proportional to 35.43, 48.89 and 22.32 is: 30.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.43 : 48.89 = 22.32 : x
  2. Step 2: Convert to fraction form
    35.43/48.89 = 22.32/x
  3. Step 3: Cross multiply
    35.43x = 48.89 × 22.32
  4. Step 4: Simplify right side
    35.43x = 1,091.22
  5. Step 5: Solve for x
    x = 1,091.22/35.43
  6. Step 6: Final answer
    x = 30.80

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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.