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Finding the Fourth Proportional to 137.50, 206.24 and 105.64

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Solution

The fourth proportional to 137.50, 206.24 and 105.64 is: 158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 206.24 = 105.64 : x
  2. Step 2: Convert to fraction form
    137.50/206.24 = 105.64/x
  3. Step 3: Cross multiply
    137.50x = 206.24 × 105.64
  4. Step 4: Simplify right side
    137.50x = 21,787.19
  5. Step 5: Solve for x
    x = 21,787.19/137.50
  6. Step 6: Final answer
    x = 158.45

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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.