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Finding the Fourth Proportional to 125.58, 188.43 and 106.45

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Solution

The fourth proportional to 125.58, 188.43 and 106.45 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.58 : 188.43 = 106.45 : x
  2. Step 2: Convert to fraction form
    125.58/188.43 = 106.45/x
  3. Step 3: Cross multiply
    125.58x = 188.43 × 106.45
  4. Step 4: Simplify right side
    125.58x = 20,057.50
  5. Step 5: Solve for x
    x = 20,057.50/125.58
  6. Step 6: Final answer
    x = 159.71

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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.