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Finding the Fourth Proportional to 137.01, 205.38 and 55.77

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Solution

The fourth proportional to 137.01, 205.38 and 55.77 is: 83.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.01 : 205.38 = 55.77 : x
  2. Step 2: Convert to fraction form
    137.01/205.38 = 55.77/x
  3. Step 3: Cross multiply
    137.01x = 205.38 × 55.77
  4. Step 4: Simplify right side
    137.01x = 11,454.04
  5. Step 5: Solve for x
    x = 11,454.04/137.01
  6. Step 6: Final answer
    x = 83.60

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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.