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Finding the Fourth Proportional to 70.98, 106.42 and 36.72

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Solution

The fourth proportional to 70.98, 106.42 and 36.72 is: 55.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.98 : 106.42 = 36.72 : x
  2. Step 2: Convert to fraction form
    70.98/106.42 = 36.72/x
  3. Step 3: Cross multiply
    70.98x = 106.42 × 36.72
  4. Step 4: Simplify right side
    70.98x = 3,907.74
  5. Step 5: Solve for x
    x = 3,907.74/70.98
  6. Step 6: Final answer
    x = 55.05

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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.