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Finding the Fourth Proportional to 56.54, 84.71 and 46.42

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Solution

The fourth proportional to 56.54, 84.71 and 46.42 is: 69.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.54 : 84.71 = 46.42 : x
  2. Step 2: Convert to fraction form
    56.54/84.71 = 46.42/x
  3. Step 3: Cross multiply
    56.54x = 84.71 × 46.42
  4. Step 4: Simplify right side
    56.54x = 3,932.14
  5. Step 5: Solve for x
    x = 3,932.14/56.54
  6. Step 6: Final answer
    x = 69.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.