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Finding the Fourth Proportional to 103.13, 154.64 and 42.19

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Solution

The fourth proportional to 103.13, 154.64 and 42.19 is: 63.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.13 : 154.64 = 42.19 : x
  2. Step 2: Convert to fraction form
    103.13/154.64 = 42.19/x
  3. Step 3: Cross multiply
    103.13x = 154.64 × 42.19
  4. Step 4: Simplify right side
    103.13x = 6,524.05
  5. Step 5: Solve for x
    x = 6,524.05/103.13
  6. Step 6: Final answer
    x = 63.26

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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.