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Finding the Fourth Proportional to 102.94, 154.31 and 42.12

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Solution

The fourth proportional to 102.94, 154.31 and 42.12 is: 63.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.94 : 154.31 = 42.12 : x
  2. Step 2: Convert to fraction form
    102.94/154.31 = 42.12/x
  3. Step 3: Cross multiply
    102.94x = 154.31 × 42.12
  4. Step 4: Simplify right side
    102.94x = 6,499.33
  5. Step 5: Solve for x
    x = 6,499.33/102.94
  6. Step 6: Final answer
    x = 63.14

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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.