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Finding the Fourth Proportional to 70.36, 104.96 and 65.45

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Solution

The fourth proportional to 70.36, 104.96 and 65.45 is: 97.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.36 : 104.96 = 65.45 : x
  2. Step 2: Convert to fraction form
    70.36/104.96 = 65.45/x
  3. Step 3: Cross multiply
    70.36x = 104.96 × 65.45
  4. Step 4: Simplify right side
    70.36x = 6,868.78
  5. Step 5: Solve for x
    x = 6,868.78/70.36
  6. Step 6: Final answer
    x = 97.63

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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.