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Finding the Fourth Proportional to 70.18, 105.36 and 47.12

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Solution

The fourth proportional to 70.18, 105.36 and 47.12 is: 70.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.18 : 105.36 = 47.12 : x
  2. Step 2: Convert to fraction form
    70.18/105.36 = 47.12/x
  3. Step 3: Cross multiply
    70.18x = 105.36 × 47.12
  4. Step 4: Simplify right side
    70.18x = 4,964.64
  5. Step 5: Solve for x
    x = 4,964.64/70.18
  6. Step 6: Final answer
    x = 70.74

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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.