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Finding the Fourth Proportional to 137.07, 205.40 and 85.58

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Solution

The fourth proportional to 137.07, 205.40 and 85.58 is: 128.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.07 : 205.40 = 85.58 : x
  2. Step 2: Convert to fraction form
    137.07/205.40 = 85.58/x
  3. Step 3: Cross multiply
    137.07x = 205.40 × 85.58
  4. Step 4: Simplify right side
    137.07x = 17,577.81
  5. Step 5: Solve for x
    x = 17,577.81/137.07
  6. Step 6: Final answer
    x = 128.24

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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.