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Finding the Fourth Proportional to 135.94, 187.62 and 103.13

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Solution

The fourth proportional to 135.94, 187.62 and 103.13 is: 142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.94 : 187.62 = 103.13 : x
  2. Step 2: Convert to fraction form
    135.94/187.62 = 103.13/x
  3. Step 3: Cross multiply
    135.94x = 187.62 × 103.13
  4. Step 4: Simplify right side
    135.94x = 19,349.25
  5. Step 5: Solve for x
    x = 19,349.25/135.94
  6. Step 6: Final answer
    x = 142.34

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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.