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Finding the Fourth Proportional to 35.24, 52.74 and 27.06

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Solution

The fourth proportional to 35.24, 52.74 and 27.06 is: 40.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.24 : 52.74 = 27.06 : x
  2. Step 2: Convert to fraction form
    35.24/52.74 = 27.06/x
  3. Step 3: Cross multiply
    35.24x = 52.74 × 27.06
  4. Step 4: Simplify right side
    35.24x = 1,427.14
  5. Step 5: Solve for x
    x = 1,427.14/35.24
  6. Step 6: Final answer
    x = 40.50

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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.