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Finding the Fourth Proportional to 55.91, 77.16 and 31.35

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Solution

The fourth proportional to 55.91, 77.16 and 31.35 is: 43.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.91 : 77.16 = 31.35 : x
  2. Step 2: Convert to fraction form
    55.91/77.16 = 31.35/x
  3. Step 3: Cross multiply
    55.91x = 77.16 × 31.35
  4. Step 4: Simplify right side
    55.91x = 2,418.97
  5. Step 5: Solve for x
    x = 2,418.97/55.91
  6. Step 6: Final answer
    x = 43.26

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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.