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Finding the Fourth Proportional to 135.63, 202.06 and 129.10

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Solution

The fourth proportional to 135.63, 202.06 and 129.10 is: 192.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.63 : 202.06 = 129.10 : x
  2. Step 2: Convert to fraction form
    135.63/202.06 = 129.10/x
  3. Step 3: Cross multiply
    135.63x = 202.06 × 129.10
  4. Step 4: Simplify right side
    135.63x = 26,085.62
  5. Step 5: Solve for x
    x = 26,085.62/135.63
  6. Step 6: Final answer
    x = 192.33

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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.