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Finding the Fourth Proportional to 51.90, 72.05 and 51.18

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Solution

The fourth proportional to 51.90, 72.05 and 51.18 is: 71.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 72.05 = 51.18 : x
  2. Step 2: Convert to fraction form
    51.90/72.05 = 51.18/x
  3. Step 3: Cross multiply
    51.90x = 72.05 × 51.18
  4. Step 4: Simplify right side
    51.90x = 3,687.26
  5. Step 5: Solve for x
    x = 3,687.26/51.90
  6. Step 6: Final answer
    x = 71.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.