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Finding the Fourth Proportional to 135.93, 187.74 and 99.26

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Solution

The fourth proportional to 135.93, 187.74 and 99.26 is: 137.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.93 : 187.74 = 99.26 : x
  2. Step 2: Convert to fraction form
    135.93/187.74 = 99.26/x
  3. Step 3: Cross multiply
    135.93x = 187.74 × 99.26
  4. Step 4: Simplify right side
    135.93x = 18,635.07
  5. Step 5: Solve for x
    x = 18,635.07/135.93
  6. Step 6: Final answer
    x = 137.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.