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Finding the Fourth Proportional to 135.88, 204.06 and 79.24

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Solution

The fourth proportional to 135.88, 204.06 and 79.24 is: 119.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.88 : 204.06 = 79.24 : x
  2. Step 2: Convert to fraction form
    135.88/204.06 = 79.24/x
  3. Step 3: Cross multiply
    135.88x = 204.06 × 79.24
  4. Step 4: Simplify right side
    135.88x = 16,169.71
  5. Step 5: Solve for x
    x = 16,169.71/135.88
  6. Step 6: Final answer
    x = 119.00

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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.