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Finding the Fourth Proportional to 56.66, 78.14 and 36.96

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Solution

The fourth proportional to 56.66, 78.14 and 36.96 is: 50.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.66 : 78.14 = 36.96 : x
  2. Step 2: Convert to fraction form
    56.66/78.14 = 36.96/x
  3. Step 3: Cross multiply
    56.66x = 78.14 × 36.96
  4. Step 4: Simplify right side
    56.66x = 2,887.87
  5. Step 5: Solve for x
    x = 2,887.87/56.66
  6. Step 6: Final answer
    x = 50.97

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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.