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Finding the Fourth Proportional to 56.23, 76.56 and 56.05

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Solution

The fourth proportional to 56.23, 76.56 and 56.05 is: 76.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.23 : 76.56 = 56.05 : x
  2. Step 2: Convert to fraction form
    56.23/76.56 = 56.05/x
  3. Step 3: Cross multiply
    56.23x = 76.56 × 56.05
  4. Step 4: Simplify right side
    56.23x = 4,291.19
  5. Step 5: Solve for x
    x = 4,291.19/56.23
  6. Step 6: Final answer
    x = 76.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.