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Finding the Fourth Proportional to 104.07, 155.53 and 84.61

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Solution

The fourth proportional to 104.07, 155.53 and 84.61 is: 126.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.07 : 155.53 = 84.61 : x
  2. Step 2: Convert to fraction form
    104.07/155.53 = 84.61/x
  3. Step 3: Cross multiply
    104.07x = 155.53 × 84.61
  4. Step 4: Simplify right side
    104.07x = 13,159.39
  5. Step 5: Solve for x
    x = 13,159.39/104.07
  6. Step 6: Final answer
    x = 126.45

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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.