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Finding the Fourth Proportional to 70.65, 106.05 and 30.09

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Solution

The fourth proportional to 70.65, 106.05 and 30.09 is: 45.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.65 : 106.05 = 30.09 : x
  2. Step 2: Convert to fraction form
    70.65/106.05 = 30.09/x
  3. Step 3: Cross multiply
    70.65x = 106.05 × 30.09
  4. Step 4: Simplify right side
    70.65x = 3,191.04
  5. Step 5: Solve for x
    x = 3,191.04/70.65
  6. Step 6: Final answer
    x = 45.17

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