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Finding the Fourth Proportional to 35.93, 54.01 and 35.20

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Solution

The fourth proportional to 35.93, 54.01 and 35.20 is: 52.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.93 : 54.01 = 35.20 : x
  2. Step 2: Convert to fraction form
    35.93/54.01 = 35.20/x
  3. Step 3: Cross multiply
    35.93x = 54.01 × 35.20
  4. Step 4: Simplify right side
    35.93x = 1,900.93
  5. Step 5: Solve for x
    x = 1,900.93/35.93
  6. Step 6: Final answer
    x = 52.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.