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Finding the Fourth Proportional to 56.67, 78.20 and 34.53

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Solution

The fourth proportional to 56.67, 78.20 and 34.53 is: 47.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.67 : 78.20 = 34.53 : x
  2. Step 2: Convert to fraction form
    56.67/78.20 = 34.53/x
  3. Step 3: Cross multiply
    56.67x = 78.20 × 34.53
  4. Step 4: Simplify right side
    56.67x = 2,699.68
  5. Step 5: Solve for x
    x = 2,699.68/56.67
  6. Step 6: Final answer
    x = 47.64

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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.