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Finding the Fourth Proportional to 125.84, 188.88 and 109.88

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Solution

The fourth proportional to 125.84, 188.88 and 109.88 is: 164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.84 : 188.88 = 109.88 : x
  2. Step 2: Convert to fraction form
    125.84/188.88 = 109.88/x
  3. Step 3: Cross multiply
    125.84x = 188.88 × 109.88
  4. Step 4: Simplify right side
    125.84x = 20,754.13
  5. Step 5: Solve for x
    x = 20,754.13/125.84
  6. Step 6: Final answer
    x = 164.92

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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.