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Finding the Fourth Proportional to 65.82, 98.72 and 23.07

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Solution

The fourth proportional to 65.82, 98.72 and 23.07 is: 34.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.82 : 98.72 = 23.07 : x
  2. Step 2: Convert to fraction form
    65.82/98.72 = 23.07/x
  3. Step 3: Cross multiply
    65.82x = 98.72 × 23.07
  4. Step 4: Simplify right side
    65.82x = 2,277.36
  5. Step 5: Solve for x
    x = 2,277.36/65.82
  6. Step 6: Final answer
    x = 34.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.