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Finding the Fourth Proportional to 187.72, 282.09 and 101.12

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Solution

The fourth proportional to 187.72, 282.09 and 101.12 is: 151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.72 : 282.09 = 101.12 : x
  2. Step 2: Convert to fraction form
    187.72/282.09 = 101.12/x
  3. Step 3: Cross multiply
    187.72x = 282.09 × 101.12
  4. Step 4: Simplify right side
    187.72x = 28,524.94
  5. Step 5: Solve for x
    x = 28,524.94/187.72
  6. Step 6: Final answer
    x = 151.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.