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Finding the Fourth Proportional to 56.34, 77.70 and 40.83

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Solution

The fourth proportional to 56.34, 77.70 and 40.83 is: 56.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.34 : 77.70 = 40.83 : x
  2. Step 2: Convert to fraction form
    56.34/77.70 = 40.83/x
  3. Step 3: Cross multiply
    56.34x = 77.70 × 40.83
  4. Step 4: Simplify right side
    56.34x = 3,172.49
  5. Step 5: Solve for x
    x = 3,172.49/56.34
  6. Step 6: Final answer
    x = 56.31

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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.