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Finding the Fourth Proportional to 47.26, 65.26 and 30.88

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Solution

The fourth proportional to 47.26, 65.26 and 30.88 is: 42.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.26 : 65.26 = 30.88 : x
  2. Step 2: Convert to fraction form
    47.26/65.26 = 30.88/x
  3. Step 3: Cross multiply
    47.26x = 65.26 × 30.88
  4. Step 4: Simplify right side
    47.26x = 2,015.23
  5. Step 5: Solve for x
    x = 2,015.23/47.26
  6. Step 6: Final answer
    x = 42.64

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