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Finding the Fourth Proportional to 56.34, 83.93 and 54.37

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Solution

The fourth proportional to 56.34, 83.93 and 54.37 is: 81.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.34 : 83.93 = 54.37 : x
  2. Step 2: Convert to fraction form
    56.34/83.93 = 54.37/x
  3. Step 3: Cross multiply
    56.34x = 83.93 × 54.37
  4. Step 4: Simplify right side
    56.34x = 4,563.27
  5. Step 5: Solve for x
    x = 4,563.27/56.34
  6. Step 6: Final answer
    x = 81.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.