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Finding the Fourth Proportional to 65.06, 89.79 and 37.44

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Solution

The fourth proportional to 65.06, 89.79 and 37.44 is: 51.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.06 : 89.79 = 37.44 : x
  2. Step 2: Convert to fraction form
    65.06/89.79 = 37.44/x
  3. Step 3: Cross multiply
    65.06x = 89.79 × 37.44
  4. Step 4: Simplify right side
    65.06x = 3,361.74
  5. Step 5: Solve for x
    x = 3,361.74/65.06
  6. Step 6: Final answer
    x = 51.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.