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Finding the Fourth Proportional to 137.39, 205.91 and 64.16

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Solution

The fourth proportional to 137.39, 205.91 and 64.16 is: 96.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.39 : 205.91 = 64.16 : x
  2. Step 2: Convert to fraction form
    137.39/205.91 = 64.16/x
  3. Step 3: Cross multiply
    137.39x = 205.91 × 64.16
  4. Step 4: Simplify right side
    137.39x = 13,210.85
  5. Step 5: Solve for x
    x = 13,210.85/137.39
  6. Step 6: Final answer
    x = 96.16

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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.