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Finding the Fourth Proportional to 55.68, 84.12 and 55.08

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Solution

The fourth proportional to 55.68, 84.12 and 55.08 is: 83.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.68 : 84.12 = 55.08 : x
  2. Step 2: Convert to fraction form
    55.68/84.12 = 55.08/x
  3. Step 3: Cross multiply
    55.68x = 84.12 × 55.08
  4. Step 4: Simplify right side
    55.68x = 4,633.33
  5. Step 5: Solve for x
    x = 4,633.33/55.68
  6. Step 6: Final answer
    x = 83.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.