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Finding the Fourth Proportional to 35.69, 53.43 and 17.61

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Solution

The fourth proportional to 35.69, 53.43 and 17.61 is: 26.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.69 : 53.43 = 17.61 : x
  2. Step 2: Convert to fraction form
    35.69/53.43 = 17.61/x
  3. Step 3: Cross multiply
    35.69x = 53.43 × 17.61
  4. Step 4: Simplify right side
    35.69x = 940.90
  5. Step 5: Solve for x
    x = 940.90/35.69
  6. Step 6: Final answer
    x = 26.37

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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.