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Finding the Fourth Proportional to 51.84, 71.55 and 30.02

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Solution

The fourth proportional to 51.84, 71.55 and 30.02 is: 41.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.84 : 71.55 = 30.02 : x
  2. Step 2: Convert to fraction form
    51.84/71.55 = 30.02/x
  3. Step 3: Cross multiply
    51.84x = 71.55 × 30.02
  4. Step 4: Simplify right side
    51.84x = 2,147.42
  5. Step 5: Solve for x
    x = 2,147.42/51.84
  6. Step 6: Final answer
    x = 41.43

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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.