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Finding the Fourth Proportional to 103.32, 154.89 and 77.67

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Solution

The fourth proportional to 103.32, 154.89 and 77.67 is: 116.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 154.89 = 77.67 : x
  2. Step 2: Convert to fraction form
    103.32/154.89 = 77.67/x
  3. Step 3: Cross multiply
    103.32x = 154.89 × 77.67
  4. Step 4: Simplify right side
    103.32x = 12,030.31
  5. Step 5: Solve for x
    x = 12,030.31/103.32
  6. Step 6: Final answer
    x = 116.44

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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.