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Finding the Fourth Proportional to 47.09, 70.59 and 22.70

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Solution

The fourth proportional to 47.09, 70.59 and 22.70 is: 34.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.09 : 70.59 = 22.70 : x
  2. Step 2: Convert to fraction form
    47.09/70.59 = 22.70/x
  3. Step 3: Cross multiply
    47.09x = 70.59 × 22.70
  4. Step 4: Simplify right side
    47.09x = 1,602.16
  5. Step 5: Solve for x
    x = 1,602.16/47.09
  6. Step 6: Final answer
    x = 34.03

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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.