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Finding the Fourth Proportional to 56.46, 77.71 and 40.06

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Solution

The fourth proportional to 56.46, 77.71 and 40.06 is: 55.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.46 : 77.71 = 40.06 : x
  2. Step 2: Convert to fraction form
    56.46/77.71 = 40.06/x
  3. Step 3: Cross multiply
    56.46x = 77.71 × 40.06
  4. Step 4: Simplify right side
    56.46x = 3,112.67
  5. Step 5: Solve for x
    x = 3,112.67/56.46
  6. Step 6: Final answer
    x = 55.14

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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.