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Finding the Fourth Proportional to 100.35, 137.60 and 99.14

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Solution

The fourth proportional to 100.35, 137.60 and 99.14 is: 135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.35 : 137.60 = 99.14 : x
  2. Step 2: Convert to fraction form
    100.35/137.60 = 99.14/x
  3. Step 3: Cross multiply
    100.35x = 137.60 × 99.14
  4. Step 4: Simplify right side
    100.35x = 13,640.48
  5. Step 5: Solve for x
    x = 13,640.48/100.35
  6. Step 6: Final answer
    x = 135.93

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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.