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Finding the Fourth Proportional to 56.46, 84.73 and 32.14

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Solution

The fourth proportional to 56.46, 84.73 and 32.14 is: 48.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.46 : 84.73 = 32.14 : x
  2. Step 2: Convert to fraction form
    56.46/84.73 = 32.14/x
  3. Step 3: Cross multiply
    56.46x = 84.73 × 32.14
  4. Step 4: Simplify right side
    56.46x = 2,723.22
  5. Step 5: Solve for x
    x = 2,723.22/56.46
  6. Step 6: Final answer
    x = 48.23

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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.