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Finding the Fourth Proportional to 125.58, 188.01 and 109.50

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Solution

The fourth proportional to 125.58, 188.01 and 109.50 is: 163.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.58 : 188.01 = 109.50 : x
  2. Step 2: Convert to fraction form
    125.58/188.01 = 109.50/x
  3. Step 3: Cross multiply
    125.58x = 188.01 × 109.50
  4. Step 4: Simplify right side
    125.58x = 20,587.10
  5. Step 5: Solve for x
    x = 20,587.10/125.58
  6. Step 6: Final answer
    x = 163.94

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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.