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Finding the Fourth Proportional to 70.78, 106.28 and 30.28

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Solution

The fourth proportional to 70.78, 106.28 and 30.28 is: 45.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.78 : 106.28 = 30.28 : x
  2. Step 2: Convert to fraction form
    70.78/106.28 = 30.28/x
  3. Step 3: Cross multiply
    70.78x = 106.28 × 30.28
  4. Step 4: Simplify right side
    70.78x = 3,218.16
  5. Step 5: Solve for x
    x = 3,218.16/70.78
  6. Step 6: Final answer
    x = 45.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.