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Finding the Fourth Proportional to 47.25, 65.25 and 34.29

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Solution

The fourth proportional to 47.25, 65.25 and 34.29 is: 47.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.25 : 65.25 = 34.29 : x
  2. Step 2: Convert to fraction form
    47.25/65.25 = 34.29/x
  3. Step 3: Cross multiply
    47.25x = 65.25 × 34.29
  4. Step 4: Simplify right side
    47.25x = 2,237.42
  5. Step 5: Solve for x
    x = 2,237.42/47.25
  6. Step 6: Final answer
    x = 47.35

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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.