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Finding the Fourth Proportional to 111.60, 154.06 and 102.34

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Solution

The fourth proportional to 111.60, 154.06 and 102.34 is: 141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.60 : 154.06 = 102.34 : x
  2. Step 2: Convert to fraction form
    111.60/154.06 = 102.34/x
  3. Step 3: Cross multiply
    111.60x = 154.06 × 102.34
  4. Step 4: Simplify right side
    111.60x = 15,766.50
  5. Step 5: Solve for x
    x = 15,766.50/111.60
  6. Step 6: Final answer
    x = 141.28

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Why These Related Problems?

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