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Finding the Fourth Proportional to 47.00, 70.46 and 27.74

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Solution

The fourth proportional to 47.00, 70.46 and 27.74 is: 41.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.00 : 70.46 = 27.74 : x
  2. Step 2: Convert to fraction form
    47.00/70.46 = 27.74/x
  3. Step 3: Cross multiply
    47.00x = 70.46 × 27.74
  4. Step 4: Simplify right side
    47.00x = 1,954.07
  5. Step 5: Solve for x
    x = 1,954.07/47.00
  6. Step 6: Final answer
    x = 41.58

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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.