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Finding the Fourth Proportional to 42.04, 63.29 and 40.83

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Solution

The fourth proportional to 42.04, 63.29 and 40.83 is: 61.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.04 : 63.29 = 40.83 : x
  2. Step 2: Convert to fraction form
    42.04/63.29 = 40.83/x
  3. Step 3: Cross multiply
    42.04x = 63.29 × 40.83
  4. Step 4: Simplify right side
    42.04x = 2,584.13
  5. Step 5: Solve for x
    x = 2,584.13/42.04
  6. Step 6: Final answer
    x = 61.47

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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.