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Finding the Fourth Proportional to 35.89, 49.54 and 22.07

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Solution

The fourth proportional to 35.89, 49.54 and 22.07 is: 30.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.89 : 49.54 = 22.07 : x
  2. Step 2: Convert to fraction form
    35.89/49.54 = 22.07/x
  3. Step 3: Cross multiply
    35.89x = 49.54 × 22.07
  4. Step 4: Simplify right side
    35.89x = 1,093.40
  5. Step 5: Solve for x
    x = 1,093.40/35.89
  6. Step 6: Final answer
    x = 30.46

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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.