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Finding the Fourth Proportional to 56.71, 78.06 and 40.31

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Solution

The fourth proportional to 56.71, 78.06 and 40.31 is: 55.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.71 : 78.06 = 40.31 : x
  2. Step 2: Convert to fraction form
    56.71/78.06 = 40.31/x
  3. Step 3: Cross multiply
    56.71x = 78.06 × 40.31
  4. Step 4: Simplify right side
    56.71x = 3,146.01
  5. Step 5: Solve for x
    x = 3,146.01/56.71
  6. Step 6: Final answer
    x = 55.48

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Why These Related Problems?

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