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Finding the Fourth Proportional to 56.26, 77.59 and 39.63

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Solution

The fourth proportional to 56.26, 77.59 and 39.63 is: 54.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.26 : 77.59 = 39.63 : x
  2. Step 2: Convert to fraction form
    56.26/77.59 = 39.63/x
  3. Step 3: Cross multiply
    56.26x = 77.59 × 39.63
  4. Step 4: Simplify right side
    56.26x = 3,075.23
  5. Step 5: Solve for x
    x = 3,075.23/56.26
  6. Step 6: Final answer
    x = 54.66

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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.