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Finding the Fourth Proportional to 100.34, 137.43 and 99.26

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Solution

The fourth proportional to 100.34, 137.43 and 99.26 is: 135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.34 : 137.43 = 99.26 : x
  2. Step 2: Convert to fraction form
    100.34/137.43 = 99.26/x
  3. Step 3: Cross multiply
    100.34x = 137.43 × 99.26
  4. Step 4: Simplify right side
    100.34x = 13,640.81
  5. Step 5: Solve for x
    x = 13,640.81/100.34
  6. Step 6: Final answer
    x = 135.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.