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Finding the Fourth Proportional to 70.90, 106.32 and 52.33

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Solution

The fourth proportional to 70.90, 106.32 and 52.33 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.90 : 106.32 = 52.33 : x
  2. Step 2: Convert to fraction form
    70.90/106.32 = 52.33/x
  3. Step 3: Cross multiply
    70.90x = 106.32 × 52.33
  4. Step 4: Simplify right side
    70.90x = 5,563.73
  5. Step 5: Solve for x
    x = 5,563.73/70.90
  6. Step 6: Final answer
    x = 78.47

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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.