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Finding the Fourth Proportional to 55.84, 77.06 and 31.27

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Solution

The fourth proportional to 55.84, 77.06 and 31.27 is: 43.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.84 : 77.06 = 31.27 : x
  2. Step 2: Convert to fraction form
    55.84/77.06 = 31.27/x
  3. Step 3: Cross multiply
    55.84x = 77.06 × 31.27
  4. Step 4: Simplify right side
    55.84x = 2,409.67
  5. Step 5: Solve for x
    x = 2,409.67/55.84
  6. Step 6: Final answer
    x = 43.15

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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.