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Finding the Fourth Proportional to 65.11, 97.66 and 19.46

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Solution

The fourth proportional to 65.11, 97.66 and 19.46 is: 29.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.11 : 97.66 = 19.46 : x
  2. Step 2: Convert to fraction form
    65.11/97.66 = 19.46/x
  3. Step 3: Cross multiply
    65.11x = 97.66 × 19.46
  4. Step 4: Simplify right side
    65.11x = 1,900.46
  5. Step 5: Solve for x
    x = 1,900.46/65.11
  6. Step 6: Final answer
    x = 29.19

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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.