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Finding the Fourth Proportional to 112.41, 154.89 and 87.81

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Solution

The fourth proportional to 112.41, 154.89 and 87.81 is: 120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.41 : 154.89 = 87.81 : x
  2. Step 2: Convert to fraction form
    112.41/154.89 = 87.81/x
  3. Step 3: Cross multiply
    112.41x = 154.89 × 87.81
  4. Step 4: Simplify right side
    112.41x = 13,600.89
  5. Step 5: Solve for x
    x = 13,600.89/112.41
  6. Step 6: Final answer
    x = 120.99

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