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Finding the Fourth Proportional to 135.51, 202.98 and 67.02

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Solution

The fourth proportional to 135.51, 202.98 and 67.02 is: 100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.51 : 202.98 = 67.02 : x
  2. Step 2: Convert to fraction form
    135.51/202.98 = 67.02/x
  3. Step 3: Cross multiply
    135.51x = 202.98 × 67.02
  4. Step 4: Simplify right side
    135.51x = 13,603.72
  5. Step 5: Solve for x
    x = 13,603.72/135.51
  6. Step 6: Final answer
    x = 100.39

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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.