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Finding the Fourth Proportional to 156.76, 216.30 and 91.23

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Solution

The fourth proportional to 156.76, 216.30 and 91.23 is: 125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.76 : 216.30 = 91.23 : x
  2. Step 2: Convert to fraction form
    156.76/216.30 = 91.23/x
  3. Step 3: Cross multiply
    156.76x = 216.30 × 91.23
  4. Step 4: Simplify right side
    156.76x = 19,733.05
  5. Step 5: Solve for x
    x = 19,733.05/156.76
  6. Step 6: Final answer
    x = 125.88

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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.