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Finding the Fourth Proportional to 70.70, 106.04 and 57.10

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Solution

The fourth proportional to 70.70, 106.04 and 57.10 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.70 : 106.04 = 57.10 : x
  2. Step 2: Convert to fraction form
    70.70/106.04 = 57.10/x
  3. Step 3: Cross multiply
    70.70x = 106.04 × 57.10
  4. Step 4: Simplify right side
    70.70x = 6,054.88
  5. Step 5: Solve for x
    x = 6,054.88/70.70
  6. Step 6: Final answer
    x = 85.64

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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.