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Finding the Fourth Proportional to 156.75, 216.29 and 91.23

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Solution

The fourth proportional to 156.75, 216.29 and 91.23 is: 125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.75 : 216.29 = 91.23 : x
  2. Step 2: Convert to fraction form
    156.75/216.29 = 91.23/x
  3. Step 3: Cross multiply
    156.75x = 216.29 × 91.23
  4. Step 4: Simplify right side
    156.75x = 19,732.91
  5. Step 5: Solve for x
    x = 19,732.91/156.75
  6. Step 6: Final answer
    x = 125.89

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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.