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Finding the Fourth Proportional to 35.82, 54.12 and 35.50

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Solution

The fourth proportional to 35.82, 54.12 and 35.50 is: 53.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 54.12 = 35.50 : x
  2. Step 2: Convert to fraction form
    35.82/54.12 = 35.50/x
  3. Step 3: Cross multiply
    35.82x = 54.12 × 35.50
  4. Step 4: Simplify right side
    35.82x = 1,921.26
  5. Step 5: Solve for x
    x = 1,921.26/35.82
  6. Step 6: Final answer
    x = 53.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.