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Finding the Fourth Proportional to 45.98, 68.57 and 42.05

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Solution

The fourth proportional to 45.98, 68.57 and 42.05 is: 62.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.98 : 68.57 = 42.05 : x
  2. Step 2: Convert to fraction form
    45.98/68.57 = 42.05/x
  3. Step 3: Cross multiply
    45.98x = 68.57 × 42.05
  4. Step 4: Simplify right side
    45.98x = 2,883.13
  5. Step 5: Solve for x
    x = 2,883.13/45.98
  6. Step 6: Final answer
    x = 62.71

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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.