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Finding the Fourth Proportional to 56.46, 84.61 and 25.95

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Solution

The fourth proportional to 56.46, 84.61 and 25.95 is: 38.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.46 : 84.61 = 25.95 : x
  2. Step 2: Convert to fraction form
    56.46/84.61 = 25.95/x
  3. Step 3: Cross multiply
    56.46x = 84.61 × 25.95
  4. Step 4: Simplify right side
    56.46x = 2,195.63
  5. Step 5: Solve for x
    x = 2,195.63/56.46
  6. Step 6: Final answer
    x = 38.89

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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.