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Finding the Fourth Proportional to 106.59, 148.28 and 104.61

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Solution

The fourth proportional to 106.59, 148.28 and 104.61 is: 145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.59 : 148.28 = 104.61 : x
  2. Step 2: Convert to fraction form
    106.59/148.28 = 104.61/x
  3. Step 3: Cross multiply
    106.59x = 148.28 × 104.61
  4. Step 4: Simplify right side
    106.59x = 15,511.05
  5. Step 5: Solve for x
    x = 15,511.05/106.59
  6. Step 6: Final answer
    x = 145.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.