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Finding the Fourth Proportional to 156.97, 216.66 and 98.74

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Solution

The fourth proportional to 156.97, 216.66 and 98.74 is: 136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.97 : 216.66 = 98.74 : x
  2. Step 2: Convert to fraction form
    156.97/216.66 = 98.74/x
  3. Step 3: Cross multiply
    156.97x = 216.66 × 98.74
  4. Step 4: Simplify right side
    156.97x = 21,393.01
  5. Step 5: Solve for x
    x = 21,393.01/156.97
  6. Step 6: Final answer
    x = 136.29

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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.