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Finding the Fourth Proportional to 70.80, 96.89 and 70.08

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Solution

The fourth proportional to 70.80, 96.89 and 70.08 is: 95.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.80 : 96.89 = 70.08 : x
  2. Step 2: Convert to fraction form
    70.80/96.89 = 70.08/x
  3. Step 3: Cross multiply
    70.80x = 96.89 × 70.08
  4. Step 4: Simplify right side
    70.80x = 6,790.05
  5. Step 5: Solve for x
    x = 6,790.05/70.80
  6. Step 6: Final answer
    x = 95.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.