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Finding the Fourth Proportional to 156.81, 216.50 and 98.67

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Solution

The fourth proportional to 156.81, 216.50 and 98.67 is: 136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.81 : 216.50 = 98.67 : x
  2. Step 2: Convert to fraction form
    156.81/216.50 = 98.67/x
  3. Step 3: Cross multiply
    156.81x = 216.50 × 98.67
  4. Step 4: Simplify right side
    156.81x = 21,361.56
  5. Step 5: Solve for x
    x = 21,361.56/156.81
  6. Step 6: Final answer
    x = 136.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.