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Finding the Fourth Proportional to 84.13, 116.12 and 55.06

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Solution

The fourth proportional to 84.13, 116.12 and 55.06 is: 75.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.13 : 116.12 = 55.06 : x
  2. Step 2: Convert to fraction form
    84.13/116.12 = 55.06/x
  3. Step 3: Cross multiply
    84.13x = 116.12 × 55.06
  4. Step 4: Simplify right side
    84.13x = 6,392.71
  5. Step 5: Solve for x
    x = 6,392.71/84.13
  6. Step 6: Final answer
    x = 75.99

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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.