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Finding the Fourth Proportional to 125.54, 187.88 and 112.04

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Solution

The fourth proportional to 125.54, 187.88 and 112.04 is: 167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.54 : 187.88 = 112.04 : x
  2. Step 2: Convert to fraction form
    125.54/187.88 = 112.04/x
  3. Step 3: Cross multiply
    125.54x = 187.88 × 112.04
  4. Step 4: Simplify right side
    125.54x = 21,048.58
  5. Step 5: Solve for x
    x = 21,048.58/125.54
  6. Step 6: Final answer
    x = 167.67

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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.