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Finding the Fourth Proportional to 47.10, 65.00 and 27.69

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Solution

The fourth proportional to 47.10, 65.00 and 27.69 is: 38.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.10 : 65.00 = 27.69 : x
  2. Step 2: Convert to fraction form
    47.10/65.00 = 27.69/x
  3. Step 3: Cross multiply
    47.10x = 65.00 × 27.69
  4. Step 4: Simplify right side
    47.10x = 1,799.71
  5. Step 5: Solve for x
    x = 1,799.71/47.10
  6. Step 6: Final answer
    x = 38.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.