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Finding the Fourth Proportional to 55.74, 82.95 and 55.56

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Solution

The fourth proportional to 55.74, 82.95 and 55.56 is: 82.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.74 : 82.95 = 55.56 : x
  2. Step 2: Convert to fraction form
    55.74/82.95 = 55.56/x
  3. Step 3: Cross multiply
    55.74x = 82.95 × 55.56
  4. Step 4: Simplify right side
    55.74x = 4,608.70
  5. Step 5: Solve for x
    x = 4,608.70/55.74
  6. Step 6: Final answer
    x = 82.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.