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Finding the Fourth Proportional to 125.45, 187.95 and 117.92

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Solution

The fourth proportional to 125.45, 187.95 and 117.92 is: 176.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.45 : 187.95 = 117.92 : x
  2. Step 2: Convert to fraction form
    125.45/187.95 = 117.92/x
  3. Step 3: Cross multiply
    125.45x = 187.95 × 117.92
  4. Step 4: Simplify right side
    125.45x = 22,163.06
  5. Step 5: Solve for x
    x = 22,163.06/125.45
  6. Step 6: Final answer
    x = 176.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.