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Finding the Fourth Proportional to 56.30, 77.67 and 35.29

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Solution

The fourth proportional to 56.30, 77.67 and 35.29 is: 48.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.30 : 77.67 = 35.29 : x
  2. Step 2: Convert to fraction form
    56.30/77.67 = 35.29/x
  3. Step 3: Cross multiply
    56.30x = 77.67 × 35.29
  4. Step 4: Simplify right side
    56.30x = 2,740.97
  5. Step 5: Solve for x
    x = 2,740.97/56.30
  6. Step 6: Final answer
    x = 48.69

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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.