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Finding the Fourth Proportional to 83.58, 115.29 and 54.42

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Solution

The fourth proportional to 83.58, 115.29 and 54.42 is: 75.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.58 : 115.29 = 54.42 : x
  2. Step 2: Convert to fraction form
    83.58/115.29 = 54.42/x
  3. Step 3: Cross multiply
    83.58x = 115.29 × 54.42
  4. Step 4: Simplify right side
    83.58x = 6,274.08
  5. Step 5: Solve for x
    x = 6,274.08/83.58
  6. Step 6: Final answer
    x = 75.07

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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.