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Finding the Fourth Proportional to 88.40, 120.98 and 87.44

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Solution

The fourth proportional to 88.40, 120.98 and 87.44 is: 119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.40 : 120.98 = 87.44 : x
  2. Step 2: Convert to fraction form
    88.40/120.98 = 87.44/x
  3. Step 3: Cross multiply
    88.40x = 120.98 × 87.44
  4. Step 4: Simplify right side
    88.40x = 10,578.49
  5. Step 5: Solve for x
    x = 10,578.49/88.40
  6. Step 6: Final answer
    x = 119.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.