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Finding the Fourth Proportional to 70.13, 105.23 and 31.64

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Solution

The fourth proportional to 70.13, 105.23 and 31.64 is: 47.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 105.23 = 31.64 : x
  2. Step 2: Convert to fraction form
    70.13/105.23 = 31.64/x
  3. Step 3: Cross multiply
    70.13x = 105.23 × 31.64
  4. Step 4: Simplify right side
    70.13x = 3,329.03
  5. Step 5: Solve for x
    x = 3,329.03/70.13
  6. Step 6: Final answer
    x = 47.47

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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.