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Finding the Fourth Proportional to 51.85, 78.06 and 47.59

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Solution

The fourth proportional to 51.85, 78.06 and 47.59 is: 71.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.85 : 78.06 = 47.59 : x
  2. Step 2: Convert to fraction form
    51.85/78.06 = 47.59/x
  3. Step 3: Cross multiply
    51.85x = 78.06 × 47.59
  4. Step 4: Simplify right side
    51.85x = 3,714.88
  5. Step 5: Solve for x
    x = 3,714.88/51.85
  6. Step 6: Final answer
    x = 71.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.