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Finding the Fourth Proportional to 102.98, 154.42 and 45.19

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Solution

The fourth proportional to 102.98, 154.42 and 45.19 is: 67.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.98 : 154.42 = 45.19 : x
  2. Step 2: Convert to fraction form
    102.98/154.42 = 45.19/x
  3. Step 3: Cross multiply
    102.98x = 154.42 × 45.19
  4. Step 4: Simplify right side
    102.98x = 6,978.32
  5. Step 5: Solve for x
    x = 6,978.32/102.98
  6. Step 6: Final answer
    x = 67.76

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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.