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Finding the Fourth Proportional to 56.64, 78.14 and 38.23

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Solution

The fourth proportional to 56.64, 78.14 and 38.23 is: 52.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.64 : 78.14 = 38.23 : x
  2. Step 2: Convert to fraction form
    56.64/78.14 = 38.23/x
  3. Step 3: Cross multiply
    56.64x = 78.14 × 38.23
  4. Step 4: Simplify right side
    56.64x = 2,987.29
  5. Step 5: Solve for x
    x = 2,987.29/56.64
  6. Step 6: Final answer
    x = 52.74

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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.