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Finding the Fourth Proportional to 156.91, 235.42 and 75.75

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Solution

The fourth proportional to 156.91, 235.42 and 75.75 is: 113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.91 : 235.42 = 75.75 : x
  2. Step 2: Convert to fraction form
    156.91/235.42 = 75.75/x
  3. Step 3: Cross multiply
    156.91x = 235.42 × 75.75
  4. Step 4: Simplify right side
    156.91x = 17,833.07
  5. Step 5: Solve for x
    x = 17,833.07/156.91
  6. Step 6: Final answer
    x = 113.65

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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.