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Finding the Fourth Proportional to 175.54, 242.38 and 113.41

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Solution

The fourth proportional to 175.54, 242.38 and 113.41 is: 156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.54 : 242.38 = 113.41 : x
  2. Step 2: Convert to fraction form
    175.54/242.38 = 113.41/x
  3. Step 3: Cross multiply
    175.54x = 242.38 × 113.41
  4. Step 4: Simplify right side
    175.54x = 27,487.14
  5. Step 5: Solve for x
    x = 27,487.14/175.54
  6. Step 6: Final answer
    x = 156.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.