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Finding the Fourth Proportional to 65.02, 97.26 and 40.99

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Solution

The fourth proportional to 65.02, 97.26 and 40.99 is: 61.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.02 : 97.26 = 40.99 : x
  2. Step 2: Convert to fraction form
    65.02/97.26 = 40.99/x
  3. Step 3: Cross multiply
    65.02x = 97.26 × 40.99
  4. Step 4: Simplify right side
    65.02x = 3,986.69
  5. Step 5: Solve for x
    x = 3,986.69/65.02
  6. Step 6: Final answer
    x = 61.31

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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.