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Finding the Fourth Proportional to 35.23, 48.63 and 22.30

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Solution

The fourth proportional to 35.23, 48.63 and 22.30 is: 30.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.23 : 48.63 = 22.30 : x
  2. Step 2: Convert to fraction form
    35.23/48.63 = 22.30/x
  3. Step 3: Cross multiply
    35.23x = 48.63 × 22.30
  4. Step 4: Simplify right side
    35.23x = 1,084.45
  5. Step 5: Solve for x
    x = 1,084.45/35.23
  6. Step 6: Final answer
    x = 30.78

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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.