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Finding the Fourth Proportional to 187.54, 258.72 and 113.84

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Solution

The fourth proportional to 187.54, 258.72 and 113.84 is: 157.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.54 : 258.72 = 113.84 : x
  2. Step 2: Convert to fraction form
    187.54/258.72 = 113.84/x
  3. Step 3: Cross multiply
    187.54x = 258.72 × 113.84
  4. Step 4: Simplify right side
    187.54x = 29,452.68
  5. Step 5: Solve for x
    x = 29,452.68/187.54
  6. Step 6: Final answer
    x = 157.05

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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.