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Finding the Fourth Proportional to 156.90, 235.34 and 75.49

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Solution

The fourth proportional to 156.90, 235.34 and 75.49 is: 113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.90 : 235.34 = 75.49 : x
  2. Step 2: Convert to fraction form
    156.90/235.34 = 75.49/x
  3. Step 3: Cross multiply
    156.90x = 235.34 × 75.49
  4. Step 4: Simplify right side
    156.90x = 17,765.82
  5. Step 5: Solve for x
    x = 17,765.82/156.90
  6. Step 6: Final answer
    x = 113.23

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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.