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Finding the Fourth Proportional to 56.09, 83.58 and 54.02

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Solution

The fourth proportional to 56.09, 83.58 and 54.02 is: 80.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 83.58 = 54.02 : x
  2. Step 2: Convert to fraction form
    56.09/83.58 = 54.02/x
  3. Step 3: Cross multiply
    56.09x = 83.58 × 54.02
  4. Step 4: Simplify right side
    56.09x = 4,514.99
  5. Step 5: Solve for x
    x = 4,514.99/56.09
  6. Step 6: Final answer
    x = 80.50

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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.