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Finding the Fourth Proportional to 34.64, 52.01 and 27.12

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Solution

The fourth proportional to 34.64, 52.01 and 27.12 is: 40.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.64 : 52.01 = 27.12 : x
  2. Step 2: Convert to fraction form
    34.64/52.01 = 27.12/x
  3. Step 3: Cross multiply
    34.64x = 52.01 × 27.12
  4. Step 4: Simplify right side
    34.64x = 1,410.38
  5. Step 5: Solve for x
    x = 1,410.38/34.64
  6. Step 6: Final answer
    x = 40.72

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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.