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Finding the Fourth Proportional to 70.28, 105.01 and 69.64

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Solution

The fourth proportional to 70.28, 105.01 and 69.64 is: 104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.28 : 105.01 = 69.64 : x
  2. Step 2: Convert to fraction form
    70.28/105.01 = 69.64/x
  3. Step 3: Cross multiply
    70.28x = 105.01 × 69.64
  4. Step 4: Simplify right side
    70.28x = 7,312.90
  5. Step 5: Solve for x
    x = 7,312.90/70.28
  6. Step 6: Final answer
    x = 104.05

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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.