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Finding the Fourth Proportional to 125.34, 189.14 and 121.05

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Solution

The fourth proportional to 125.34, 189.14 and 121.05 is: 182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.34 : 189.14 = 121.05 : x
  2. Step 2: Convert to fraction form
    125.34/189.14 = 121.05/x
  3. Step 3: Cross multiply
    125.34x = 189.14 × 121.05
  4. Step 4: Simplify right side
    125.34x = 22,895.40
  5. Step 5: Solve for x
    x = 22,895.40/125.34
  6. Step 6: Final answer
    x = 182.67

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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.