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Finding the Fourth Proportional to 70.96, 98 and 70.83

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Solution

The fourth proportional to 70.96, 98 and 70.83 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.96 : 98 = 70.83 : x
  2. Step 2: Convert to fraction form
    70.96/98 = 70.83/x
  3. Step 3: Cross multiply
    70.96x = 98 × 70.83
  4. Step 4: Simplify right side
    70.96x = 6,941.34
  5. Step 5: Solve for x
    x = 6,941.34/70.96
  6. Step 6: Final answer
    x = 97.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.