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Finding the Fourth Proportional to 156.80, 216.42 and 97.82

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Solution

The fourth proportional to 156.80, 216.42 and 97.82 is: 135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.80 : 216.42 = 97.82 : x
  2. Step 2: Convert to fraction form
    156.80/216.42 = 97.82/x
  3. Step 3: Cross multiply
    156.80x = 216.42 × 97.82
  4. Step 4: Simplify right side
    156.80x = 21,170.20
  5. Step 5: Solve for x
    x = 21,170.20/156.80
  6. Step 6: Final answer
    x = 135.01

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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.