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Finding the Fourth Proportional to 56.96, 78.24 and 49.64

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Solution

The fourth proportional to 56.96, 78.24 and 49.64 is: 68.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.96 : 78.24 = 49.64 : x
  2. Step 2: Convert to fraction form
    56.96/78.24 = 49.64/x
  3. Step 3: Cross multiply
    56.96x = 78.24 × 49.64
  4. Step 4: Simplify right side
    56.96x = 3,883.83
  5. Step 5: Solve for x
    x = 3,883.83/56.96
  6. Step 6: Final answer
    x = 68.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.