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Finding the Fourth Proportional to 135.36, 202.98 and 66.78

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Solution

The fourth proportional to 135.36, 202.98 and 66.78 is: 100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.36 : 202.98 = 66.78 : x
  2. Step 2: Convert to fraction form
    135.36/202.98 = 66.78/x
  3. Step 3: Cross multiply
    135.36x = 202.98 × 66.78
  4. Step 4: Simplify right side
    135.36x = 13,555.00
  5. Step 5: Solve for x
    x = 13,555.00/135.36
  6. Step 6: Final answer
    x = 100.14

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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.