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Finding the Fourth Proportional to 139.74, 209.64 and 53.07

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Solution

The fourth proportional to 139.74, 209.64 and 53.07 is: 79.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.74 : 209.64 = 53.07 : x
  2. Step 2: Convert to fraction form
    139.74/209.64 = 53.07/x
  3. Step 3: Cross multiply
    139.74x = 209.64 × 53.07
  4. Step 4: Simplify right side
    139.74x = 11,125.59
  5. Step 5: Solve for x
    x = 11,125.59/139.74
  6. Step 6: Final answer
    x = 79.62

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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.