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Finding the Fourth Proportional to 51.40, 77.09 and 24.35

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Solution

The fourth proportional to 51.40, 77.09 and 24.35 is: 36.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.40 : 77.09 = 24.35 : x
  2. Step 2: Convert to fraction form
    51.40/77.09 = 24.35/x
  3. Step 3: Cross multiply
    51.40x = 77.09 × 24.35
  4. Step 4: Simplify right side
    51.40x = 1,876.82
  5. Step 5: Solve for x
    x = 1,876.82/51.40
  6. Step 6: Final answer
    x = 36.52

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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.