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Finding the Fourth Proportional to 135.47, 203.26 and 89.91

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Solution

The fourth proportional to 135.47, 203.26 and 89.91 is: 134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.47 : 203.26 = 89.91 : x
  2. Step 2: Convert to fraction form
    135.47/203.26 = 89.91/x
  3. Step 3: Cross multiply
    135.47x = 203.26 × 89.91
  4. Step 4: Simplify right side
    135.47x = 18,275.11
  5. Step 5: Solve for x
    x = 18,275.11/135.47
  6. Step 6: Final answer
    x = 134.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.