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Finding the Fourth Proportional to 56.65, 78.09 and 47.41

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Solution

The fourth proportional to 56.65, 78.09 and 47.41 is: 65.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.65 : 78.09 = 47.41 : x
  2. Step 2: Convert to fraction form
    56.65/78.09 = 47.41/x
  3. Step 3: Cross multiply
    56.65x = 78.09 × 47.41
  4. Step 4: Simplify right side
    56.65x = 3,702.25
  5. Step 5: Solve for x
    x = 3,702.25/56.65
  6. Step 6: Final answer
    x = 65.35

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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.