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Finding the Fourth Proportional to 137.53, 205.93 and 96.85

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Solution

The fourth proportional to 137.53, 205.93 and 96.85 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.53 : 205.93 = 96.85 : x
  2. Step 2: Convert to fraction form
    137.53/205.93 = 96.85/x
  3. Step 3: Cross multiply
    137.53x = 205.93 × 96.85
  4. Step 4: Simplify right side
    137.53x = 19,944.32
  5. Step 5: Solve for x
    x = 19,944.32/137.53
  6. Step 6: Final answer
    x = 145.02

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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.