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Finding the Fourth Proportional to 156.72, 234.80 and 110.32

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Solution

The fourth proportional to 156.72, 234.80 and 110.32 is: 165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.72 : 234.80 = 110.32 : x
  2. Step 2: Convert to fraction form
    156.72/234.80 = 110.32/x
  3. Step 3: Cross multiply
    156.72x = 234.80 × 110.32
  4. Step 4: Simplify right side
    156.72x = 25,903.14
  5. Step 5: Solve for x
    x = 25,903.14/156.72
  6. Step 6: Final answer
    x = 165.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.