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Finding the Fourth Proportional to 89.03, 134.22 and 82.55

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Solution

The fourth proportional to 89.03, 134.22 and 82.55 is: 124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.03 : 134.22 = 82.55 : x
  2. Step 2: Convert to fraction form
    89.03/134.22 = 82.55/x
  3. Step 3: Cross multiply
    89.03x = 134.22 × 82.55
  4. Step 4: Simplify right side
    89.03x = 11,080.51
  5. Step 5: Solve for x
    x = 11,080.51/89.03
  6. Step 6: Final answer
    x = 124.45

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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.