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Finding the Fourth Proportional to 35.69, 53.39 and 22.83

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Solution

The fourth proportional to 35.69, 53.39 and 22.83 is: 34.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.69 : 53.39 = 22.83 : x
  2. Step 2: Convert to fraction form
    35.69/53.39 = 22.83/x
  3. Step 3: Cross multiply
    35.69x = 53.39 × 22.83
  4. Step 4: Simplify right side
    35.69x = 1,218.75
  5. Step 5: Solve for x
    x = 1,218.75/35.69
  6. Step 6: Final answer
    x = 34.15

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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.