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Finding the Fourth Proportional to 154.06, 212.57 and 104.86

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Solution

The fourth proportional to 154.06, 212.57 and 104.86 is: 144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.06 : 212.57 = 104.86 : x
  2. Step 2: Convert to fraction form
    154.06/212.57 = 104.86/x
  3. Step 3: Cross multiply
    154.06x = 212.57 × 104.86
  4. Step 4: Simplify right side
    154.06x = 22,288.50
  5. Step 5: Solve for x
    x = 22,288.50/154.06
  6. Step 6: Final answer
    x = 144.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.