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Finding the Fourth Proportional to 70.67, 106.00 and 30.08

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Solution

The fourth proportional to 70.67, 106.00 and 30.08 is: 45.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.67 : 106.00 = 30.08 : x
  2. Step 2: Convert to fraction form
    70.67/106.00 = 30.08/x
  3. Step 3: Cross multiply
    70.67x = 106.00 × 30.08
  4. Step 4: Simplify right side
    70.67x = 3,188.67
  5. Step 5: Solve for x
    x = 3,188.67/70.67
  6. Step 6: Final answer
    x = 45.12

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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.