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Finding the Fourth Proportional to 65.09, 97.68 and 29.01

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Solution

The fourth proportional to 65.09, 97.68 and 29.01 is: 43.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.09 : 97.68 = 29.01 : x
  2. Step 2: Convert to fraction form
    65.09/97.68 = 29.01/x
  3. Step 3: Cross multiply
    65.09x = 97.68 × 29.01
  4. Step 4: Simplify right side
    65.09x = 2,833.70
  5. Step 5: Solve for x
    x = 2,833.70/65.09
  6. Step 6: Final answer
    x = 43.54

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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.