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Finding the Fourth Proportional to 70.84, 105.54 and 68.56

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Solution

The fourth proportional to 70.84, 105.54 and 68.56 is: 102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.84 : 105.54 = 68.56 : x
  2. Step 2: Convert to fraction form
    70.84/105.54 = 68.56/x
  3. Step 3: Cross multiply
    70.84x = 105.54 × 68.56
  4. Step 4: Simplify right side
    70.84x = 7,235.82
  5. Step 5: Solve for x
    x = 7,235.82/70.84
  6. Step 6: Final answer
    x = 102.14

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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.