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Finding the Fourth Proportional to 125.74, 173.66 and 84.47

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Solution

The fourth proportional to 125.74, 173.66 and 84.47 is: 116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.74 : 173.66 = 84.47 : x
  2. Step 2: Convert to fraction form
    125.74/173.66 = 84.47/x
  3. Step 3: Cross multiply
    125.74x = 173.66 × 84.47
  4. Step 4: Simplify right side
    125.74x = 14,668.24
  5. Step 5: Solve for x
    x = 14,668.24/125.74
  6. Step 6: Final answer
    x = 116.65

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