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Finding the Fourth Proportional to 156.63, 216.09 and 98.31

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Solution

The fourth proportional to 156.63, 216.09 and 98.31 is: 135.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.63 : 216.09 = 98.31 : x
  2. Step 2: Convert to fraction form
    156.63/216.09 = 98.31/x
  3. Step 3: Cross multiply
    156.63x = 216.09 × 98.31
  4. Step 4: Simplify right side
    156.63x = 21,243.81
  5. Step 5: Solve for x
    x = 21,243.81/156.63
  6. Step 6: Final answer
    x = 135.63

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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.