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Finding the Fourth Proportional to 125.50, 188.36 and 67.77

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Solution

The fourth proportional to 125.50, 188.36 and 67.77 is: 101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.50 : 188.36 = 67.77 : x
  2. Step 2: Convert to fraction form
    125.50/188.36 = 67.77/x
  3. Step 3: Cross multiply
    125.50x = 188.36 × 67.77
  4. Step 4: Simplify right side
    125.50x = 12,763.88
  5. Step 5: Solve for x
    x = 12,763.88/125.50
  6. Step 6: Final answer
    x = 101.70

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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.