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Finding the Fourth Proportional to 56.24, 77.63 and 37.80

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Solution

The fourth proportional to 56.24, 77.63 and 37.80 is: 52.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.24 : 77.63 = 37.80 : x
  2. Step 2: Convert to fraction form
    56.24/77.63 = 37.80/x
  3. Step 3: Cross multiply
    56.24x = 77.63 × 37.80
  4. Step 4: Simplify right side
    56.24x = 2,934.23
  5. Step 5: Solve for x
    x = 2,934.23/56.24
  6. Step 6: Final answer
    x = 52.18

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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.