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Finding the Fourth Proportional to 125.79, 188.64 and 34.46

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Solution

The fourth proportional to 125.79, 188.64 and 34.46 is: 51.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.79 : 188.64 = 34.46 : x
  2. Step 2: Convert to fraction form
    125.79/188.64 = 34.46/x
  3. Step 3: Cross multiply
    125.79x = 188.64 × 34.46
  4. Step 4: Simplify right side
    125.79x = 6,500.66
  5. Step 5: Solve for x
    x = 6,500.66/125.79
  6. Step 6: Final answer
    x = 51.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.