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Finding the Fourth Proportional to 125.16, 188.50 and 110.14

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Solution

The fourth proportional to 125.16, 188.50 and 110.14 is: 165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.16 : 188.50 = 110.14 : x
  2. Step 2: Convert to fraction form
    125.16/188.50 = 110.14/x
  3. Step 3: Cross multiply
    125.16x = 188.50 × 110.14
  4. Step 4: Simplify right side
    125.16x = 20,761.39
  5. Step 5: Solve for x
    x = 20,761.39/125.16
  6. Step 6: Final answer
    x = 165.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.