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Finding the Fourth Proportional to 156.53, 234.89 and 75.37

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Solution

The fourth proportional to 156.53, 234.89 and 75.37 is: 113.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.53 : 234.89 = 75.37 : x
  2. Step 2: Convert to fraction form
    156.53/234.89 = 75.37/x
  3. Step 3: Cross multiply
    156.53x = 234.89 × 75.37
  4. Step 4: Simplify right side
    156.53x = 17,703.66
  5. Step 5: Solve for x
    x = 17,703.66/156.53
  6. Step 6: Final answer
    x = 113.10

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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.