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Finding the Fourth Proportional to 65.00, 97.49 and 21.68

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Solution

The fourth proportional to 65.00, 97.49 and 21.68 is: 32.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.00 : 97.49 = 21.68 : x
  2. Step 2: Convert to fraction form
    65.00/97.49 = 21.68/x
  3. Step 3: Cross multiply
    65.00x = 97.49 × 21.68
  4. Step 4: Simplify right side
    65.00x = 2,113.94
  5. Step 5: Solve for x
    x = 2,113.94/65.00
  6. Step 6: Final answer
    x = 32.52

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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.