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Finding the Fourth Proportional to 47.25, 70.86 and 21.57

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Solution

The fourth proportional to 47.25, 70.86 and 21.57 is: 32.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.25 : 70.86 = 21.57 : x
  2. Step 2: Convert to fraction form
    47.25/70.86 = 21.57/x
  3. Step 3: Cross multiply
    47.25x = 70.86 × 21.57
  4. Step 4: Simplify right side
    47.25x = 1,528.45
  5. Step 5: Solve for x
    x = 1,528.45/47.25
  6. Step 6: Final answer
    x = 32.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.