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Finding the Fourth Proportional to 135.58, 202.03 and 130.42

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Solution

The fourth proportional to 135.58, 202.03 and 130.42 is: 194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.58 : 202.03 = 130.42 : x
  2. Step 2: Convert to fraction form
    135.58/202.03 = 130.42/x
  3. Step 3: Cross multiply
    135.58x = 202.03 × 130.42
  4. Step 4: Simplify right side
    135.58x = 26,348.75
  5. Step 5: Solve for x
    x = 26,348.75/135.58
  6. Step 6: Final answer
    x = 194.34

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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.