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Finding the Fourth Proportional to 70.40, 105.54 and 68.72

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Solution

The fourth proportional to 70.40, 105.54 and 68.72 is: 103.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.40 : 105.54 = 68.72 : x
  2. Step 2: Convert to fraction form
    70.40/105.54 = 68.72/x
  3. Step 3: Cross multiply
    70.40x = 105.54 × 68.72
  4. Step 4: Simplify right side
    70.40x = 7,251.92
  5. Step 5: Solve for x
    x = 7,251.92/70.40
  6. Step 6: Final answer
    x = 103.01

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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.