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Finding the Fourth Proportional to 35.73, 53.22 and 34

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Solution

The fourth proportional to 35.73, 53.22 and 34 is: 50.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.73 : 53.22 = 34 : x
  2. Step 2: Convert to fraction form
    35.73/53.22 = 34/x
  3. Step 3: Cross multiply
    35.73x = 53.22 × 34
  4. Step 4: Simplify right side
    35.73x = 1,809.48
  5. Step 5: Solve for x
    x = 1,809.48/35.73
  6. Step 6: Final answer
    x = 50.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.