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Finding the Fourth Proportional to 103.15, 154.85 and 87.04

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Solution

The fourth proportional to 103.15, 154.85 and 87.04 is: 130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.15 : 154.85 = 87.04 : x
  2. Step 2: Convert to fraction form
    103.15/154.85 = 87.04/x
  3. Step 3: Cross multiply
    103.15x = 154.85 × 87.04
  4. Step 4: Simplify right side
    103.15x = 13,478.14
  5. Step 5: Solve for x
    x = 13,478.14/103.15
  6. Step 6: Final answer
    x = 130.67

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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.