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Finding the Fourth Proportional to 47.75, 71.60 and 20.70

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Solution

The fourth proportional to 47.75, 71.60 and 20.70 is: 31.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.75 : 71.60 = 20.70 : x
  2. Step 2: Convert to fraction form
    47.75/71.60 = 20.70/x
  3. Step 3: Cross multiply
    47.75x = 71.60 × 20.70
  4. Step 4: Simplify right side
    47.75x = 1,482.02
  5. Step 5: Solve for x
    x = 1,482.02/47.75
  6. Step 6: Final answer
    x = 31.04

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Why These Related Problems?

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