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Finding the Fourth Proportional to 103.32, 154.83 and 42.42

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Solution

The fourth proportional to 103.32, 154.83 and 42.42 is: 63.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 154.83 = 42.42 : x
  2. Step 2: Convert to fraction form
    103.32/154.83 = 42.42/x
  3. Step 3: Cross multiply
    103.32x = 154.83 × 42.42
  4. Step 4: Simplify right side
    103.32x = 6,567.89
  5. Step 5: Solve for x
    x = 6,567.89/103.32
  6. Step 6: Final answer
    x = 63.57

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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.