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Finding the Fourth Proportional to 51.94, 71.66 and 30.10

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Solution

The fourth proportional to 51.94, 71.66 and 30.10 is: 41.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.94 : 71.66 = 30.10 : x
  2. Step 2: Convert to fraction form
    51.94/71.66 = 30.10/x
  3. Step 3: Cross multiply
    51.94x = 71.66 × 30.10
  4. Step 4: Simplify right side
    51.94x = 2,156.97
  5. Step 5: Solve for x
    x = 2,156.97/51.94
  6. Step 6: Final answer
    x = 41.53

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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.