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Finding the Fourth Proportional to 125.60, 174.20 and 123.20

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Solution

The fourth proportional to 125.60, 174.20 and 123.20 is: 170.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.60 : 174.20 = 123.20 : x
  2. Step 2: Convert to fraction form
    125.60/174.20 = 123.20/x
  3. Step 3: Cross multiply
    125.60x = 174.20 × 123.20
  4. Step 4: Simplify right side
    125.60x = 21,461.44
  5. Step 5: Solve for x
    x = 21,461.44/125.60
  6. Step 6: Final answer
    x = 170.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.