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Finding the Fourth Proportional to 135.08, 203.75 and 135.08

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Solution

The fourth proportional to 135.08, 203.75 and 135.08 is: 203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.08 : 203.75 = 135.08 : x
  2. Step 2: Convert to fraction form
    135.08/203.75 = 135.08/x
  3. Step 3: Cross multiply
    135.08x = 203.75 × 135.08
  4. Step 4: Simplify right side
    135.08x = 27,522.55
  5. Step 5: Solve for x
    x = 27,522.55/135.08
  6. Step 6: Final answer
    x = 203.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.