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Finding the Fourth Proportional to 56.64, 77.99 and 51.24

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Solution

The fourth proportional to 56.64, 77.99 and 51.24 is: 70.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.64 : 77.99 = 51.24 : x
  2. Step 2: Convert to fraction form
    56.64/77.99 = 51.24/x
  3. Step 3: Cross multiply
    56.64x = 77.99 × 51.24
  4. Step 4: Simplify right side
    56.64x = 3,995.95
  5. Step 5: Solve for x
    x = 3,995.95/56.64
  6. Step 6: Final answer
    x = 70.55

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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.