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Finding the Fourth Proportional to 51.59, 77.38 and 13.07

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Solution

The fourth proportional to 51.59, 77.38 and 13.07 is: 19.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.59 : 77.38 = 13.07 : x
  2. Step 2: Convert to fraction form
    51.59/77.38 = 13.07/x
  3. Step 3: Cross multiply
    51.59x = 77.38 × 13.07
  4. Step 4: Simplify right side
    51.59x = 1,011.28
  5. Step 5: Solve for x
    x = 1,011.28/51.59
  6. Step 6: Final answer
    x = 19.60

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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.