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Finding the Fourth Proportional to 135.30, 202.97 and 42.76

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Solution

The fourth proportional to 135.30, 202.97 and 42.76 is: 64.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.30 : 202.97 = 42.76 : x
  2. Step 2: Convert to fraction form
    135.30/202.97 = 42.76/x
  3. Step 3: Cross multiply
    135.30x = 202.97 × 42.76
  4. Step 4: Simplify right side
    135.30x = 8,679.00
  5. Step 5: Solve for x
    x = 8,679.00/135.30
  6. Step 6: Final answer
    x = 64.15

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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.