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Finding the Fourth Proportional to 65.87, 98.77 and 40.22

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Solution

The fourth proportional to 65.87, 98.77 and 40.22 is: 60.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.87 : 98.77 = 40.22 : x
  2. Step 2: Convert to fraction form
    65.87/98.77 = 40.22/x
  3. Step 3: Cross multiply
    65.87x = 98.77 × 40.22
  4. Step 4: Simplify right side
    65.87x = 3,972.53
  5. Step 5: Solve for x
    x = 3,972.53/65.87
  6. Step 6: Final answer
    x = 60.31

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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.