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Finding the Fourth Proportional to 35.97, 53.21 and 35.97

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Solution

The fourth proportional to 35.97, 53.21 and 35.97 is: 53.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.97 : 53.21 = 35.97 : x
  2. Step 2: Convert to fraction form
    35.97/53.21 = 35.97/x
  3. Step 3: Cross multiply
    35.97x = 53.21 × 35.97
  4. Step 4: Simplify right side
    35.97x = 1,913.78
  5. Step 5: Solve for x
    x = 1,913.78/35.97
  6. Step 6: Final answer
    x = 53.21

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.