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Finding the Fourth Proportional to 65.23, 97.61 and 43.75

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Solution

The fourth proportional to 65.23, 97.61 and 43.75 is: 65.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.23 : 97.61 = 43.75 : x
  2. Step 2: Convert to fraction form
    65.23/97.61 = 43.75/x
  3. Step 3: Cross multiply
    65.23x = 97.61 × 43.75
  4. Step 4: Simplify right side
    65.23x = 4,270.22
  5. Step 5: Solve for x
    x = 4,270.22/65.23
  6. Step 6: Final answer
    x = 65.46

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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.