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Finding the Fourth Proportional to 57.32, 78.98 and 54.76

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Solution

The fourth proportional to 57.32, 78.98 and 54.76 is: 75.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.32 : 78.98 = 54.76 : x
  2. Step 2: Convert to fraction form
    57.32/78.98 = 54.76/x
  3. Step 3: Cross multiply
    57.32x = 78.98 × 54.76
  4. Step 4: Simplify right side
    57.32x = 4,324.94
  5. Step 5: Solve for x
    x = 4,324.94/57.32
  6. Step 6: Final answer
    x = 75.45

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Why These Related Problems?

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