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Finding the Fourth Proportional to 103.69, 154.42 and 100.10

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Solution

The fourth proportional to 103.69, 154.42 and 100.10 is: 149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.69 : 154.42 = 100.10 : x
  2. Step 2: Convert to fraction form
    103.69/154.42 = 100.10/x
  3. Step 3: Cross multiply
    103.69x = 154.42 × 100.10
  4. Step 4: Simplify right side
    103.69x = 15,457.44
  5. Step 5: Solve for x
    x = 15,457.44/103.69
  6. Step 6: Final answer
    x = 149.07

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