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Finding the Fourth Proportional to 125.77, 188.65 and 34.46

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Solution

The fourth proportional to 125.77, 188.65 and 34.46 is: 51.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.77 : 188.65 = 34.46 : x
  2. Step 2: Convert to fraction form
    125.77/188.65 = 34.46/x
  3. Step 3: Cross multiply
    125.77x = 188.65 × 34.46
  4. Step 4: Simplify right side
    125.77x = 6,500.88
  5. Step 5: Solve for x
    x = 6,500.88/125.77
  6. Step 6: Final answer
    x = 51.69

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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.