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Finding the Fourth Proportional to 70.88, 105.59 and 68.43

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Solution

The fourth proportional to 70.88, 105.59 and 68.43 is: 101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.88 : 105.59 = 68.43 : x
  2. Step 2: Convert to fraction form
    70.88/105.59 = 68.43/x
  3. Step 3: Cross multiply
    70.88x = 105.59 × 68.43
  4. Step 4: Simplify right side
    70.88x = 7,225.50
  5. Step 5: Solve for x
    x = 7,225.50/70.88
  6. Step 6: Final answer
    x = 101.94

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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.