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Finding the Fourth Proportional to 56.25, 77.61 and 34.42

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Solution

The fourth proportional to 56.25, 77.61 and 34.42 is: 47.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.25 : 77.61 = 34.42 : x
  2. Step 2: Convert to fraction form
    56.25/77.61 = 34.42/x
  3. Step 3: Cross multiply
    56.25x = 77.61 × 34.42
  4. Step 4: Simplify right side
    56.25x = 2,671.34
  5. Step 5: Solve for x
    x = 2,671.34/56.25
  6. Step 6: Final answer
    x = 47.49

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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.