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Finding the Fourth Proportional to 70.70, 106.04 and 30.10

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Solution

The fourth proportional to 70.70, 106.04 and 30.10 is: 45.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.70 : 106.04 = 30.10 : x
  2. Step 2: Convert to fraction form
    70.70/106.04 = 30.10/x
  3. Step 3: Cross multiply
    70.70x = 106.04 × 30.10
  4. Step 4: Simplify right side
    70.70x = 3,191.80
  5. Step 5: Solve for x
    x = 3,191.80/70.70
  6. Step 6: Final answer
    x = 45.15

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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.