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Finding the Fourth Proportional to 55.72, 84.04 and 55.11

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Solution

The fourth proportional to 55.72, 84.04 and 55.11 is: 83.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.72 : 84.04 = 55.11 : x
  2. Step 2: Convert to fraction form
    55.72/84.04 = 55.11/x
  3. Step 3: Cross multiply
    55.72x = 84.04 × 55.11
  4. Step 4: Simplify right side
    55.72x = 4,631.44
  5. Step 5: Solve for x
    x = 4,631.44/55.72
  6. Step 6: Final answer
    x = 83.12

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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.