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Finding the Fourth Proportional to 70.32, 105.44 and 46.23

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Solution

The fourth proportional to 70.32, 105.44 and 46.23 is: 69.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.32 : 105.44 = 46.23 : x
  2. Step 2: Convert to fraction form
    70.32/105.44 = 46.23/x
  3. Step 3: Cross multiply
    70.32x = 105.44 × 46.23
  4. Step 4: Simplify right side
    70.32x = 4,874.26
  5. Step 5: Solve for x
    x = 4,874.26/70.32
  6. Step 6: Final answer
    x = 69.32

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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.