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Finding the Fourth Proportional to 135.29, 202.93 and 39.11

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Solution

The fourth proportional to 135.29, 202.93 and 39.11 is: 58.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.29 : 202.93 = 39.11 : x
  2. Step 2: Convert to fraction form
    135.29/202.93 = 39.11/x
  3. Step 3: Cross multiply
    135.29x = 202.93 × 39.11
  4. Step 4: Simplify right side
    135.29x = 7,935.48
  5. Step 5: Solve for x
    x = 7,935.48/135.29
  6. Step 6: Final answer
    x = 58.65

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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.