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Finding the Fourth Proportional to 35.75, 53.63 and 17.48

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Solution

The fourth proportional to 35.75, 53.63 and 17.48 is: 26.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.75 : 53.63 = 17.48 : x
  2. Step 2: Convert to fraction form
    35.75/53.63 = 17.48/x
  3. Step 3: Cross multiply
    35.75x = 53.63 × 17.48
  4. Step 4: Simplify right side
    35.75x = 937.50
  5. Step 5: Solve for x
    x = 937.50/35.75
  6. Step 6: Final answer
    x = 26.22

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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.