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Finding the Fourth Proportional to 102.54, 153.97 and 66.70

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Solution

The fourth proportional to 102.54, 153.97 and 66.70 is: 100.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.54 : 153.97 = 66.70 : x
  2. Step 2: Convert to fraction form
    102.54/153.97 = 66.70/x
  3. Step 3: Cross multiply
    102.54x = 153.97 × 66.70
  4. Step 4: Simplify right side
    102.54x = 10,269.80
  5. Step 5: Solve for x
    x = 10,269.80/102.54
  6. Step 6: Final answer
    x = 100.15

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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.