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Finding the Fourth Proportional to 135.30, 202.82 and 74.31

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Solution

The fourth proportional to 135.30, 202.82 and 74.31 is: 111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.30 : 202.82 = 74.31 : x
  2. Step 2: Convert to fraction form
    135.30/202.82 = 74.31/x
  3. Step 3: Cross multiply
    135.30x = 202.82 × 74.31
  4. Step 4: Simplify right side
    135.30x = 15,070.17
  5. Step 5: Solve for x
    x = 15,070.17/135.30
  6. Step 6: Final answer
    x = 111.38

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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.