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Finding the Fourth Proportional to 47.76, 65.91 and 27.04

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Solution

The fourth proportional to 47.76, 65.91 and 27.04 is: 37.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.76 : 65.91 = 27.04 : x
  2. Step 2: Convert to fraction form
    47.76/65.91 = 27.04/x
  3. Step 3: Cross multiply
    47.76x = 65.91 × 27.04
  4. Step 4: Simplify right side
    47.76x = 1,782.21
  5. Step 5: Solve for x
    x = 1,782.21/47.76
  6. Step 6: Final answer
    x = 37.32

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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.