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Finding the Fourth Proportional to 125.90, 173.58 and 84.37

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Solution

The fourth proportional to 125.90, 173.58 and 84.37 is: 116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.90 : 173.58 = 84.37 : x
  2. Step 2: Convert to fraction form
    125.90/173.58 = 84.37/x
  3. Step 3: Cross multiply
    125.90x = 173.58 × 84.37
  4. Step 4: Simplify right side
    125.90x = 14,644.94
  5. Step 5: Solve for x
    x = 14,644.94/125.90
  6. Step 6: Final answer
    x = 116.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.