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Finding the Fourth Proportional to 56.62, 78.13 and 32.06

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Solution

The fourth proportional to 56.62, 78.13 and 32.06 is: 44.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.62 : 78.13 = 32.06 : x
  2. Step 2: Convert to fraction form
    56.62/78.13 = 32.06/x
  3. Step 3: Cross multiply
    56.62x = 78.13 × 32.06
  4. Step 4: Simplify right side
    56.62x = 2,504.96
  5. Step 5: Solve for x
    x = 2,504.96/56.62
  6. Step 6: Final answer
    x = 44.24

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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.