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Finding the Fourth Proportional to 156.90, 235.24 and 75.82

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Solution

The fourth proportional to 156.90, 235.24 and 75.82 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.90 : 235.24 = 75.82 : x
  2. Step 2: Convert to fraction form
    156.90/235.24 = 75.82/x
  3. Step 3: Cross multiply
    156.90x = 235.24 × 75.82
  4. Step 4: Simplify right side
    156.90x = 17,835.90
  5. Step 5: Solve for x
    x = 17,835.90/156.90
  6. Step 6: Final answer
    x = 113.68

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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.