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Finding the Fourth Proportional to 71.35, 106.92 and 51.00

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Solution

The fourth proportional to 71.35, 106.92 and 51.00 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.35 : 106.92 = 51.00 : x
  2. Step 2: Convert to fraction form
    71.35/106.92 = 51.00/x
  3. Step 3: Cross multiply
    71.35x = 106.92 × 51.00
  4. Step 4: Simplify right side
    71.35x = 5,452.52
  5. Step 5: Solve for x
    x = 5,452.52/71.35
  6. Step 6: Final answer
    x = 76.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.