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Finding the Fourth Proportional to 137.24, 205.88 and 56.14

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Solution

The fourth proportional to 137.24, 205.88 and 56.14 is: 84.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.24 : 205.88 = 56.14 : x
  2. Step 2: Convert to fraction form
    137.24/205.88 = 56.14/x
  3. Step 3: Cross multiply
    137.24x = 205.88 × 56.14
  4. Step 4: Simplify right side
    137.24x = 11,558.10
  5. Step 5: Solve for x
    x = 11,558.10/137.24
  6. Step 6: Final answer
    x = 84.22

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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.