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Finding the Fourth Proportional to 156.44, 234.32 and 102.35

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Solution

The fourth proportional to 156.44, 234.32 and 102.35 is: 153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.44 : 234.32 = 102.35 : x
  2. Step 2: Convert to fraction form
    156.44/234.32 = 102.35/x
  3. Step 3: Cross multiply
    156.44x = 234.32 × 102.35
  4. Step 4: Simplify right side
    156.44x = 23,980.97
  5. Step 5: Solve for x
    x = 23,980.97/156.44
  6. Step 6: Final answer
    x = 153.30

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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.