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Finding the Fourth Proportional to 45.58, 62.96 and 34.64

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Solution

The fourth proportional to 45.58, 62.96 and 34.64 is: 47.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.58 : 62.96 = 34.64 : x
  2. Step 2: Convert to fraction form
    45.58/62.96 = 34.64/x
  3. Step 3: Cross multiply
    45.58x = 62.96 × 34.64
  4. Step 4: Simplify right side
    45.58x = 2,180.93
  5. Step 5: Solve for x
    x = 2,180.93/45.58
  6. Step 6: Final answer
    x = 47.85

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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.