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Finding the Fourth Proportional to 56.61, 78.06 and 47.27

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Solution

The fourth proportional to 56.61, 78.06 and 47.27 is: 65.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.61 : 78.06 = 47.27 : x
  2. Step 2: Convert to fraction form
    56.61/78.06 = 47.27/x
  3. Step 3: Cross multiply
    56.61x = 78.06 × 47.27
  4. Step 4: Simplify right side
    56.61x = 3,689.27
  5. Step 5: Solve for x
    x = 3,689.27/56.61
  6. Step 6: Final answer
    x = 65.18

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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.