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Finding the Fourth Proportional to 103.78, 154.72 and 95.14

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Solution

The fourth proportional to 103.78, 154.72 and 95.14 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.78 : 154.72 = 95.14 : x
  2. Step 2: Convert to fraction form
    103.78/154.72 = 95.14/x
  3. Step 3: Cross multiply
    103.78x = 154.72 × 95.14
  4. Step 4: Simplify right side
    103.78x = 14,720.06
  5. Step 5: Solve for x
    x = 14,720.06/103.78
  6. Step 6: Final answer
    x = 141.84

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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.