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Finding the Fourth Proportional to 51.99, 78.14 and 34.08

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Solution

The fourth proportional to 51.99, 78.14 and 34.08 is: 51.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.99 : 78.14 = 34.08 : x
  2. Step 2: Convert to fraction form
    51.99/78.14 = 34.08/x
  3. Step 3: Cross multiply
    51.99x = 78.14 × 34.08
  4. Step 4: Simplify right side
    51.99x = 2,663.01
  5. Step 5: Solve for x
    x = 2,663.01/51.99
  6. Step 6: Final answer
    x = 51.22

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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.