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Finding the Fourth Proportional to 47.09, 70.50 and 36.90

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Solution

The fourth proportional to 47.09, 70.50 and 36.90 is: 55.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 70.50 = 36.90 : x
  2. Step 2: Convert to fraction form
    47.09/70.50 = 36.90/x
  3. Step 3: Cross multiply
    47.09x = 70.50 × 36.90
  4. Step 4: Simplify right side
    47.09x = 2,601.45
  5. Step 5: Solve for x
    x = 2,601.45/47.09
  6. Step 6: Final answer
    x = 55.24

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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.