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Finding the Fourth Proportional to 47.80, 71.45 and 37

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Solution

The fourth proportional to 47.80, 71.45 and 37 is: 55.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.80 : 71.45 = 37 : x
  2. Step 2: Convert to fraction form
    47.80/71.45 = 37/x
  3. Step 3: Cross multiply
    47.80x = 71.45 × 37
  4. Step 4: Simplify right side
    47.80x = 2,643.65
  5. Step 5: Solve for x
    x = 2,643.65/47.80
  6. Step 6: Final answer
    x = 55.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.