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Finding the Fourth Proportional to 156.59, 216.11 and 97.61

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Solution

The fourth proportional to 156.59, 216.11 and 97.61 is: 134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.59 : 216.11 = 97.61 : x
  2. Step 2: Convert to fraction form
    156.59/216.11 = 97.61/x
  3. Step 3: Cross multiply
    156.59x = 216.11 × 97.61
  4. Step 4: Simplify right side
    156.59x = 21,094.07
  5. Step 5: Solve for x
    x = 21,094.07/156.59
  6. Step 6: Final answer
    x = 134.71

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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.