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Finding the Fourth Proportional to 156.85, 235.17 and 75.76

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Solution

The fourth proportional to 156.85, 235.17 and 75.76 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.85 : 235.17 = 75.76 : x
  2. Step 2: Convert to fraction form
    156.85/235.17 = 75.76/x
  3. Step 3: Cross multiply
    156.85x = 235.17 × 75.76
  4. Step 4: Simplify right side
    156.85x = 17,816.48
  5. Step 5: Solve for x
    x = 17,816.48/156.85
  6. Step 6: Final answer
    x = 113.59

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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.