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Finding the Fourth Proportional to 51.24, 77.16 and 44.64

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Solution

The fourth proportional to 51.24, 77.16 and 44.64 is: 67.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.24 : 77.16 = 44.64 : x
  2. Step 2: Convert to fraction form
    51.24/77.16 = 44.64/x
  3. Step 3: Cross multiply
    51.24x = 77.16 × 44.64
  4. Step 4: Simplify right side
    51.24x = 3,444.42
  5. Step 5: Solve for x
    x = 3,444.42/51.24
  6. Step 6: Final answer
    x = 67.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.