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Finding the Fourth Proportional to 56.55, 77.96 and 45.62

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Solution

The fourth proportional to 56.55, 77.96 and 45.62 is: 62.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.55 : 77.96 = 45.62 : x
  2. Step 2: Convert to fraction form
    56.55/77.96 = 45.62/x
  3. Step 3: Cross multiply
    56.55x = 77.96 × 45.62
  4. Step 4: Simplify right side
    56.55x = 3,555.92
  5. Step 5: Solve for x
    x = 3,555.92/56.55
  6. Step 6: Final answer
    x = 62.88

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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.