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Finding the Fourth Proportional to 70.86, 106.23 and 30.23

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Solution

The fourth proportional to 70.86, 106.23 and 30.23 is: 45.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.86 : 106.23 = 30.23 : x
  2. Step 2: Convert to fraction form
    70.86/106.23 = 30.23/x
  3. Step 3: Cross multiply
    70.86x = 106.23 × 30.23
  4. Step 4: Simplify right side
    70.86x = 3,210.80
  5. Step 5: Solve for x
    x = 3,210.80/70.86
  6. Step 6: Final answer
    x = 45.31

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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.