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Finding the Fourth Proportional to 156.86, 216.42 and 94.69

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Solution

The fourth proportional to 156.86, 216.42 and 94.69 is: 130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.86 : 216.42 = 94.69 : x
  2. Step 2: Convert to fraction form
    156.86/216.42 = 94.69/x
  3. Step 3: Cross multiply
    156.86x = 216.42 × 94.69
  4. Step 4: Simplify right side
    156.86x = 20,491.73
  5. Step 5: Solve for x
    x = 20,491.73/156.86
  6. Step 6: Final answer
    x = 130.64

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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.