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Finding the Fourth Proportional to 65.26, 89.94 and 49.74

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Solution

The fourth proportional to 65.26, 89.94 and 49.74 is: 68.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.26 : 89.94 = 49.74 : x
  2. Step 2: Convert to fraction form
    65.26/89.94 = 49.74/x
  3. Step 3: Cross multiply
    65.26x = 89.94 × 49.74
  4. Step 4: Simplify right side
    65.26x = 4,473.62
  5. Step 5: Solve for x
    x = 4,473.62/65.26
  6. Step 6: Final answer
    x = 68.55

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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.