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Finding the Fourth Proportional to 45.47, 62.78 and 35.09

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Solution

The fourth proportional to 45.47, 62.78 and 35.09 is: 48.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.47 : 62.78 = 35.09 : x
  2. Step 2: Convert to fraction form
    45.47/62.78 = 35.09/x
  3. Step 3: Cross multiply
    45.47x = 62.78 × 35.09
  4. Step 4: Simplify right side
    45.47x = 2,202.77
  5. Step 5: Solve for x
    x = 2,202.77/45.47
  6. Step 6: Final answer
    x = 48.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.