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Finding the Fourth Proportional to 102.95, 154.34 and 42.12

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Solution

The fourth proportional to 102.95, 154.34 and 42.12 is: 63.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.95 : 154.34 = 42.12 : x
  2. Step 2: Convert to fraction form
    102.95/154.34 = 42.12/x
  3. Step 3: Cross multiply
    102.95x = 154.34 × 42.12
  4. Step 4: Simplify right side
    102.95x = 6,500.80
  5. Step 5: Solve for x
    x = 6,500.80/102.95
  6. Step 6: Final answer
    x = 63.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.