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Finding the Fourth Proportional to 103.68, 154.40 and 100.96

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Solution

The fourth proportional to 103.68, 154.40 and 100.96 is: 150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.68 : 154.40 = 100.96 : x
  2. Step 2: Convert to fraction form
    103.68/154.40 = 100.96/x
  3. Step 3: Cross multiply
    103.68x = 154.40 × 100.96
  4. Step 4: Simplify right side
    103.68x = 15,588.22
  5. Step 5: Solve for x
    x = 15,588.22/103.68
  6. Step 6: Final answer
    x = 150.35

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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.