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Finding the Fourth Proportional to 125.70, 188.53 and 34.41

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Solution

The fourth proportional to 125.70, 188.53 and 34.41 is: 51.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.70 : 188.53 = 34.41 : x
  2. Step 2: Convert to fraction form
    125.70/188.53 = 34.41/x
  3. Step 3: Cross multiply
    125.70x = 188.53 × 34.41
  4. Step 4: Simplify right side
    125.70x = 6,487.32
  5. Step 5: Solve for x
    x = 6,487.32/125.70
  6. Step 6: Final answer
    x = 51.61

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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.