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Finding the Fourth Proportional to 70.24, 105.40 and 47.46

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Solution

The fourth proportional to 70.24, 105.40 and 47.46 is: 71.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.24 : 105.40 = 47.46 : x
  2. Step 2: Convert to fraction form
    70.24/105.40 = 47.46/x
  3. Step 3: Cross multiply
    70.24x = 105.40 × 47.46
  4. Step 4: Simplify right side
    70.24x = 5,002.28
  5. Step 5: Solve for x
    x = 5,002.28/70.24
  6. Step 6: Final answer
    x = 71.22

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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.