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Finding the Fourth Proportional to 35.78, 53.55 and 22.92

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Solution

The fourth proportional to 35.78, 53.55 and 22.92 is: 34.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.78 : 53.55 = 22.92 : x
  2. Step 2: Convert to fraction form
    35.78/53.55 = 22.92/x
  3. Step 3: Cross multiply
    35.78x = 53.55 × 22.92
  4. Step 4: Simplify right side
    35.78x = 1,227.37
  5. Step 5: Solve for x
    x = 1,227.37/35.78
  6. Step 6: Final answer
    x = 34.30

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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.