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Finding the Fourth Proportional to 103.36, 153.84 and 100.12

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Solution

The fourth proportional to 103.36, 153.84 and 100.12 is: 149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.36 : 153.84 = 100.12 : x
  2. Step 2: Convert to fraction form
    103.36/153.84 = 100.12/x
  3. Step 3: Cross multiply
    103.36x = 153.84 × 100.12
  4. Step 4: Simplify right side
    103.36x = 15,402.46
  5. Step 5: Solve for x
    x = 15,402.46/103.36
  6. Step 6: Final answer
    x = 149.02

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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.