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Finding the Fourth Proportional to 156.56, 216.23 and 101.34

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Solution

The fourth proportional to 156.56, 216.23 and 101.34 is: 139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.56 : 216.23 = 101.34 : x
  2. Step 2: Convert to fraction form
    156.56/216.23 = 101.34/x
  3. Step 3: Cross multiply
    156.56x = 216.23 × 101.34
  4. Step 4: Simplify right side
    156.56x = 21,912.24
  5. Step 5: Solve for x
    x = 21,912.24/156.56
  6. Step 6: Final answer
    x = 139.97

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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.