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Finding the Fourth Proportional to 35.35, 48.78 and 22.23

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Solution

The fourth proportional to 35.35, 48.78 and 22.23 is: 30.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.35 : 48.78 = 22.23 : x
  2. Step 2: Convert to fraction form
    35.35/48.78 = 22.23/x
  3. Step 3: Cross multiply
    35.35x = 48.78 × 22.23
  4. Step 4: Simplify right side
    35.35x = 1,084.02
  5. Step 5: Solve for x
    x = 1,084.02/35.35
  6. Step 6: Final answer
    x = 30.67

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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.