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Finding the Fourth Proportional to 103.50, 155.16 and 72.99

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Solution

The fourth proportional to 103.50, 155.16 and 72.99 is: 109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 155.16 = 72.99 : x
  2. Step 2: Convert to fraction form
    103.50/155.16 = 72.99/x
  3. Step 3: Cross multiply
    103.50x = 155.16 × 72.99
  4. Step 4: Simplify right side
    103.50x = 11,325.13
  5. Step 5: Solve for x
    x = 11,325.13/103.50
  6. Step 6: Final answer
    x = 109.42

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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.