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Finding the Fourth Proportional to 125.84, 173.71 and 119.06

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Solution

The fourth proportional to 125.84, 173.71 and 119.06 is: 164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.84 : 173.71 = 119.06 : x
  2. Step 2: Convert to fraction form
    125.84/173.71 = 119.06/x
  3. Step 3: Cross multiply
    125.84x = 173.71 × 119.06
  4. Step 4: Simplify right side
    125.84x = 20,681.91
  5. Step 5: Solve for x
    x = 20,681.91/125.84
  6. Step 6: Final answer
    x = 164.35

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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.