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Finding the Fourth Proportional to 70.66, 106.05 and 27.94

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Solution

The fourth proportional to 70.66, 106.05 and 27.94 is: 41.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.66 : 106.05 = 27.94 : x
  2. Step 2: Convert to fraction form
    70.66/106.05 = 27.94/x
  3. Step 3: Cross multiply
    70.66x = 106.05 × 27.94
  4. Step 4: Simplify right side
    70.66x = 2,962.67
  5. Step 5: Solve for x
    x = 2,962.67/70.66
  6. Step 6: Final answer
    x = 41.93

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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.