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Finding the Fourth Proportional to 65.75, 98.64 and 23

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Solution

The fourth proportional to 65.75, 98.64 and 23 is: 34.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.75 : 98.64 = 23 : x
  2. Step 2: Convert to fraction form
    65.75/98.64 = 23/x
  3. Step 3: Cross multiply
    65.75x = 98.64 × 23
  4. Step 4: Simplify right side
    65.75x = 2,268.72
  5. Step 5: Solve for x
    x = 2,268.72/65.75
  6. Step 6: Final answer
    x = 34.51

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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.