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Finding the Fourth Proportional to 56.32, 77.64 and 54.48

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Solution

The fourth proportional to 56.32, 77.64 and 54.48 is: 75.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.32 : 77.64 = 54.48 : x
  2. Step 2: Convert to fraction form
    56.32/77.64 = 54.48/x
  3. Step 3: Cross multiply
    56.32x = 77.64 × 54.48
  4. Step 4: Simplify right side
    56.32x = 4,229.83
  5. Step 5: Solve for x
    x = 4,229.83/56.32
  6. Step 6: Final answer
    x = 75.10

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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.