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Finding the Fourth Proportional to 156.97, 216.53 and 94.76

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Solution

The fourth proportional to 156.97, 216.53 and 94.76 is: 130.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.97 : 216.53 = 94.76 : x
  2. Step 2: Convert to fraction form
    156.97/216.53 = 94.76/x
  3. Step 3: Cross multiply
    156.97x = 216.53 × 94.76
  4. Step 4: Simplify right side
    156.97x = 20,517.91
  5. Step 5: Solve for x
    x = 20,517.91/156.97
  6. Step 6: Final answer
    x = 130.71

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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.