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Finding the Fourth Proportional to 51.74, 71.43 and 45.18

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Solution

The fourth proportional to 51.74, 71.43 and 45.18 is: 62.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 71.43 = 45.18 : x
  2. Step 2: Convert to fraction form
    51.74/71.43 = 45.18/x
  3. Step 3: Cross multiply
    51.74x = 71.43 × 45.18
  4. Step 4: Simplify right side
    51.74x = 3,227.21
  5. Step 5: Solve for x
    x = 3,227.21/51.74
  6. Step 6: Final answer
    x = 62.38

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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.