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Finding the Fourth Proportional to 70.70, 105.27 and 70.30

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Solution

The fourth proportional to 70.70, 105.27 and 70.30 is: 104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.70 : 105.27 = 70.30 : x
  2. Step 2: Convert to fraction form
    70.70/105.27 = 70.30/x
  3. Step 3: Cross multiply
    70.70x = 105.27 × 70.30
  4. Step 4: Simplify right side
    70.70x = 7,400.13
  5. Step 5: Solve for x
    x = 7,400.13/70.70
  6. Step 6: Final answer
    x = 104.67

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Why These Related Problems?

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