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Finding the Fourth Proportional to 56.54, 78.12 and 47.78

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Solution

The fourth proportional to 56.54, 78.12 and 47.78 is: 66.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.54 : 78.12 = 47.78 : x
  2. Step 2: Convert to fraction form
    56.54/78.12 = 47.78/x
  3. Step 3: Cross multiply
    56.54x = 78.12 × 47.78
  4. Step 4: Simplify right side
    56.54x = 3,732.57
  5. Step 5: Solve for x
    x = 3,732.57/56.54
  6. Step 6: Final answer
    x = 66.02

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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.