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Finding the Fourth Proportional to 156.42, 234.54 and 75.27

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Solution

The fourth proportional to 156.42, 234.54 and 75.27 is: 112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.42 : 234.54 = 75.27 : x
  2. Step 2: Convert to fraction form
    156.42/234.54 = 75.27/x
  3. Step 3: Cross multiply
    156.42x = 234.54 × 75.27
  4. Step 4: Simplify right side
    156.42x = 17,653.83
  5. Step 5: Solve for x
    x = 17,653.83/156.42
  6. Step 6: Final answer
    x = 112.86

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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.