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Finding the Fourth Proportional to 70.87, 106.35 and 36.64

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Solution

The fourth proportional to 70.87, 106.35 and 36.64 is: 54.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.87 : 106.35 = 36.64 : x
  2. Step 2: Convert to fraction form
    70.87/106.35 = 36.64/x
  3. Step 3: Cross multiply
    70.87x = 106.35 × 36.64
  4. Step 4: Simplify right side
    70.87x = 3,896.66
  5. Step 5: Solve for x
    x = 3,896.66/70.87
  6. Step 6: Final answer
    x = 54.98

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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.