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Finding the Fourth Proportional to 106.12, 145.49 and 98.08

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Solution

The fourth proportional to 106.12, 145.49 and 98.08 is: 134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.12 : 145.49 = 98.08 : x
  2. Step 2: Convert to fraction form
    106.12/145.49 = 98.08/x
  3. Step 3: Cross multiply
    106.12x = 145.49 × 98.08
  4. Step 4: Simplify right side
    106.12x = 14,269.66
  5. Step 5: Solve for x
    x = 14,269.66/106.12
  6. Step 6: Final answer
    x = 134.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.