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Finding the Fourth Proportional to 125.93, 173.76 and 78.69

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Solution

The fourth proportional to 125.93, 173.76 and 78.69 is: 108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.93 : 173.76 = 78.69 : x
  2. Step 2: Convert to fraction form
    125.93/173.76 = 78.69/x
  3. Step 3: Cross multiply
    125.93x = 173.76 × 78.69
  4. Step 4: Simplify right side
    125.93x = 13,673.17
  5. Step 5: Solve for x
    x = 13,673.17/125.93
  6. Step 6: Final answer
    x = 108.58

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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.