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Finding the Fourth Proportional to 65.26, 97.68 and 50.07

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Solution

The fourth proportional to 65.26, 97.68 and 50.07 is: 74.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.26 : 97.68 = 50.07 : x
  2. Step 2: Convert to fraction form
    65.26/97.68 = 50.07/x
  3. Step 3: Cross multiply
    65.26x = 97.68 × 50.07
  4. Step 4: Simplify right side
    65.26x = 4,890.84
  5. Step 5: Solve for x
    x = 4,890.84/65.26
  6. Step 6: Final answer
    x = 74.94

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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.