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Finding the Fourth Proportional to 55.59, 82.94 and 55.05

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Solution

The fourth proportional to 55.59, 82.94 and 55.05 is: 82.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.59 : 82.94 = 55.05 : x
  2. Step 2: Convert to fraction form
    55.59/82.94 = 55.05/x
  3. Step 3: Cross multiply
    55.59x = 82.94 × 55.05
  4. Step 4: Simplify right side
    55.59x = 4,565.85
  5. Step 5: Solve for x
    x = 4,565.85/55.59
  6. Step 6: Final answer
    x = 82.13

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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.