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Finding the Fourth Proportional to 125.82, 173.41 and 116.53

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Solution

The fourth proportional to 125.82, 173.41 and 116.53 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.82 : 173.41 = 116.53 : x
  2. Step 2: Convert to fraction form
    125.82/173.41 = 116.53/x
  3. Step 3: Cross multiply
    125.82x = 173.41 × 116.53
  4. Step 4: Simplify right side
    125.82x = 20,206.74
  5. Step 5: Solve for x
    x = 20,206.74/125.82
  6. Step 6: Final answer
    x = 160.60

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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.