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Finding the Fourth Proportional to 137.01, 205.51 and 55.83

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Solution

The fourth proportional to 137.01, 205.51 and 55.83 is: 83.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.01 : 205.51 = 55.83 : x
  2. Step 2: Convert to fraction form
    137.01/205.51 = 55.83/x
  3. Step 3: Cross multiply
    137.01x = 205.51 × 55.83
  4. Step 4: Simplify right side
    137.01x = 11,473.34
  5. Step 5: Solve for x
    x = 11,473.34/137.01
  6. Step 6: Final answer
    x = 83.74

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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.