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Finding the Fourth Proportional to 137.02, 205.47 and 45.69

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Solution

The fourth proportional to 137.02, 205.47 and 45.69 is: 68.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 205.47 = 45.69 : x
  2. Step 2: Convert to fraction form
    137.02/205.47 = 45.69/x
  3. Step 3: Cross multiply
    137.02x = 205.47 × 45.69
  4. Step 4: Simplify right side
    137.02x = 9,387.92
  5. Step 5: Solve for x
    x = 9,387.92/137.02
  6. Step 6: Final answer
    x = 68.52

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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.