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Finding the Fourth Proportional to 40.82, 61.53 and 39.90

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Solution

The fourth proportional to 40.82, 61.53 and 39.90 is: 60.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 61.53 = 39.90 : x
  2. Step 2: Convert to fraction form
    40.82/61.53 = 39.90/x
  3. Step 3: Cross multiply
    40.82x = 61.53 × 39.90
  4. Step 4: Simplify right side
    40.82x = 2,455.05
  5. Step 5: Solve for x
    x = 2,455.05/40.82
  6. Step 6: Final answer
    x = 60.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.