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Finding the Fourth Proportional to 103.67, 154.46 and 102.18

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Solution

The fourth proportional to 103.67, 154.46 and 102.18 is: 152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.67 : 154.46 = 102.18 : x
  2. Step 2: Convert to fraction form
    103.67/154.46 = 102.18/x
  3. Step 3: Cross multiply
    103.67x = 154.46 × 102.18
  4. Step 4: Simplify right side
    103.67x = 15,783.27
  5. Step 5: Solve for x
    x = 15,783.27/103.67
  6. Step 6: Final answer
    x = 152.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.