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Finding the Fourth Proportional to 119.60, 178.34 and 102.18

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Solution

The fourth proportional to 119.60, 178.34 and 102.18 is: 152.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.60 : 178.34 = 102.18 : x
  2. Step 2: Convert to fraction form
    119.60/178.34 = 102.18/x
  3. Step 3: Cross multiply
    119.60x = 178.34 × 102.18
  4. Step 4: Simplify right side
    119.60x = 18,222.78
  5. Step 5: Solve for x
    x = 18,222.78/119.60
  6. Step 6: Final answer
    x = 152.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.