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Finding the Fourth Proportional to 187.54, 281.00 and 96.01

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Solution

The fourth proportional to 187.54, 281.00 and 96.01 is: 143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.54 : 281.00 = 96.01 : x
  2. Step 2: Convert to fraction form
    187.54/281.00 = 96.01/x
  3. Step 3: Cross multiply
    187.54x = 281.00 × 96.01
  4. Step 4: Simplify right side
    187.54x = 26,978.35
  5. Step 5: Solve for x
    x = 26,978.35/187.54
  6. Step 6: Final answer
    x = 143.86

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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.