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Finding the Fourth Proportional to 187.54, 258.76 and 104.62

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Solution

The fourth proportional to 187.54, 258.76 and 104.62 is: 144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.54 : 258.76 = 104.62 : x
  2. Step 2: Convert to fraction form
    187.54/258.76 = 104.62/x
  3. Step 3: Cross multiply
    187.54x = 258.76 × 104.62
  4. Step 4: Simplify right side
    187.54x = 27,071.47
  5. Step 5: Solve for x
    x = 27,071.47/187.54
  6. Step 6: Final answer
    x = 144.35

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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.