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Finding the Fourth Proportional to 80.23, 119.80 and 70.40

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Solution

The fourth proportional to 80.23, 119.80 and 70.40 is: 105.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.23 : 119.80 = 70.40 : x
  2. Step 2: Convert to fraction form
    80.23/119.80 = 70.40/x
  3. Step 3: Cross multiply
    80.23x = 119.80 × 70.40
  4. Step 4: Simplify right side
    80.23x = 8,433.63
  5. Step 5: Solve for x
    x = 8,433.63/80.23
  6. Step 6: Final answer
    x = 105.12

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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.