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Finding the Fourth Proportional to 45, 67.12 and 42.25

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Solution

The fourth proportional to 45, 67.12 and 42.25 is: 63.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45 : 67.12 = 42.25 : x
  2. Step 2: Convert to fraction form
    45/67.12 = 42.25/x
  3. Step 3: Cross multiply
    45x = 67.12 × 42.25
  4. Step 4: Simplify right side
    45x = 2,835.82
  5. Step 5: Solve for x
    x = 2,835.82/45
  6. Step 6: Final answer
    x = 63.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.