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Finding the Fourth Proportional to 106.36, 145.84 and 102.72

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Solution

The fourth proportional to 106.36, 145.84 and 102.72 is: 140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.36 : 145.84 = 102.72 : x
  2. Step 2: Convert to fraction form
    106.36/145.84 = 102.72/x
  3. Step 3: Cross multiply
    106.36x = 145.84 × 102.72
  4. Step 4: Simplify right side
    106.36x = 14,980.68
  5. Step 5: Solve for x
    x = 14,980.68/106.36
  6. Step 6: Final answer
    x = 140.85

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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.