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Finding the Fourth Proportional to 102.86, 154.08 and 85.90

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Solution

The fourth proportional to 102.86, 154.08 and 85.90 is: 128.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.86 : 154.08 = 85.90 : x
  2. Step 2: Convert to fraction form
    102.86/154.08 = 85.90/x
  3. Step 3: Cross multiply
    102.86x = 154.08 × 85.90
  4. Step 4: Simplify right side
    102.86x = 13,235.47
  5. Step 5: Solve for x
    x = 13,235.47/102.86
  6. Step 6: Final answer
    x = 128.67

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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.