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Finding the Fourth Proportional to 135.69, 203.32 and 86.95

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Solution

The fourth proportional to 135.69, 203.32 and 86.95 is: 130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.69 : 203.32 = 86.95 : x
  2. Step 2: Convert to fraction form
    135.69/203.32 = 86.95/x
  3. Step 3: Cross multiply
    135.69x = 203.32 × 86.95
  4. Step 4: Simplify right side
    135.69x = 17,678.67
  5. Step 5: Solve for x
    x = 17,678.67/135.69
  6. Step 6: Final answer
    x = 130.29

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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.