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Finding the Fourth Proportional to 56.09, 77.47 and 47.38

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Solution

The fourth proportional to 56.09, 77.47 and 47.38 is: 65.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.09 : 77.47 = 47.38 : x
  2. Step 2: Convert to fraction form
    56.09/77.47 = 47.38/x
  3. Step 3: Cross multiply
    56.09x = 77.47 × 47.38
  4. Step 4: Simplify right side
    56.09x = 3,670.14
  5. Step 5: Solve for x
    x = 3,670.14/56.09
  6. Step 6: Final answer
    x = 65.43

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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.