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Finding the Fourth Proportional to 156.33, 234.45 and 75.24

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Solution

The fourth proportional to 156.33, 234.45 and 75.24 is: 112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.33 : 234.45 = 75.24 : x
  2. Step 2: Convert to fraction form
    156.33/234.45 = 75.24/x
  3. Step 3: Cross multiply
    156.33x = 234.45 × 75.24
  4. Step 4: Simplify right side
    156.33x = 17,640.02
  5. Step 5: Solve for x
    x = 17,640.02/156.33
  6. Step 6: Final answer
    x = 112.84

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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.