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Finding the Fourth Proportional to 70.28, 97.10 and 69.06

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Solution

The fourth proportional to 70.28, 97.10 and 69.06 is: 95.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.28 : 97.10 = 69.06 : x
  2. Step 2: Convert to fraction form
    70.28/97.10 = 69.06/x
  3. Step 3: Cross multiply
    70.28x = 97.10 × 69.06
  4. Step 4: Simplify right side
    70.28x = 6,705.38
  5. Step 5: Solve for x
    x = 6,705.38/70.28
  6. Step 6: Final answer
    x = 95.42

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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.