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Finding the Fourth Proportional to 53.76, 74.20 and 49.65

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Solution

The fourth proportional to 53.76, 74.20 and 49.65 is: 68.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.76 : 74.20 = 49.65 : x
  2. Step 2: Convert to fraction form
    53.76/74.20 = 49.65/x
  3. Step 3: Cross multiply
    53.76x = 74.20 × 49.65
  4. Step 4: Simplify right side
    53.76x = 3,684.03
  5. Step 5: Solve for x
    x = 3,684.03/53.76
  6. Step 6: Final answer
    x = 68.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.