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Finding the Fourth Proportional to 56.68, 84.61 and 46.42

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Solution

The fourth proportional to 56.68, 84.61 and 46.42 is: 69.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.68 : 84.61 = 46.42 : x
  2. Step 2: Convert to fraction form
    56.68/84.61 = 46.42/x
  3. Step 3: Cross multiply
    56.68x = 84.61 × 46.42
  4. Step 4: Simplify right side
    56.68x = 3,927.60
  5. Step 5: Solve for x
    x = 3,927.60/56.68
  6. Step 6: Final answer
    x = 69.29

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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.