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Finding the Fourth Proportional to 56.67, 77.66 and 56.31

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Solution

The fourth proportional to 56.67, 77.66 and 56.31 is: 77.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.67 : 77.66 = 56.31 : x
  2. Step 2: Convert to fraction form
    56.67/77.66 = 56.31/x
  3. Step 3: Cross multiply
    56.67x = 77.66 × 56.31
  4. Step 4: Simplify right side
    56.67x = 4,372.75
  5. Step 5: Solve for x
    x = 4,372.75/56.67
  6. Step 6: Final answer
    x = 77.16

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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.