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Finding the Fourth Proportional to 56.46, 77.80 and 52.81

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Solution

The fourth proportional to 56.46, 77.80 and 52.81 is: 72.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.46 : 77.80 = 52.81 : x
  2. Step 2: Convert to fraction form
    56.46/77.80 = 52.81/x
  3. Step 3: Cross multiply
    56.46x = 77.80 × 52.81
  4. Step 4: Simplify right side
    56.46x = 4,108.62
  5. Step 5: Solve for x
    x = 4,108.62/56.46
  6. Step 6: Final answer
    x = 72.78

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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.