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Finding the Fourth Proportional to 40.86, 56.43 and 30.51

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Solution

The fourth proportional to 40.86, 56.43 and 30.51 is: 42.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.86 : 56.43 = 30.51 : x
  2. Step 2: Convert to fraction form
    40.86/56.43 = 30.51/x
  3. Step 3: Cross multiply
    40.86x = 56.43 × 30.51
  4. Step 4: Simplify right side
    40.86x = 1,721.68
  5. Step 5: Solve for x
    x = 1,721.68/40.86
  6. Step 6: Final answer
    x = 42.14

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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.