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Finding the Fourth Proportional to 135.30, 202.94 and 48.61

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Solution

The fourth proportional to 135.30, 202.94 and 48.61 is: 72.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.30 : 202.94 = 48.61 : x
  2. Step 2: Convert to fraction form
    135.30/202.94 = 48.61/x
  3. Step 3: Cross multiply
    135.30x = 202.94 × 48.61
  4. Step 4: Simplify right side
    135.30x = 9,864.91
  5. Step 5: Solve for x
    x = 9,864.91/135.30
  6. Step 6: Final answer
    x = 72.91

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Why These Related Problems?

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