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Finding the Fourth Proportional to 65.34, 98.01 and 26.80

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Solution

The fourth proportional to 65.34, 98.01 and 26.80 is: 40.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.34 : 98.01 = 26.80 : x
  2. Step 2: Convert to fraction form
    65.34/98.01 = 26.80/x
  3. Step 3: Cross multiply
    65.34x = 98.01 × 26.80
  4. Step 4: Simplify right side
    65.34x = 2,626.67
  5. Step 5: Solve for x
    x = 2,626.67/65.34
  6. Step 6: Final answer
    x = 40.20

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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.