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Finding the Fourth Proportional to 135.34, 202.85 and 48.65

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Solution

The fourth proportional to 135.34, 202.85 and 48.65 is: 72.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.34 : 202.85 = 48.65 : x
  2. Step 2: Convert to fraction form
    135.34/202.85 = 48.65/x
  3. Step 3: Cross multiply
    135.34x = 202.85 × 48.65
  4. Step 4: Simplify right side
    135.34x = 9,867.40
  5. Step 5: Solve for x
    x = 9,867.40/135.34
  6. Step 6: Final answer
    x = 72.91

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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.