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Finding the Fourth Proportional to 125.76, 189.12 and 110.40

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Solution

The fourth proportional to 125.76, 189.12 and 110.40 is: 166.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.76 : 189.12 = 110.40 : x
  2. Step 2: Convert to fraction form
    125.76/189.12 = 110.40/x
  3. Step 3: Cross multiply
    125.76x = 189.12 × 110.40
  4. Step 4: Simplify right side
    125.76x = 20,878.85
  5. Step 5: Solve for x
    x = 20,878.85/125.76
  6. Step 6: Final answer
    x = 166.02

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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.