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Finding the Fourth Proportional to 106.42, 146.90 and 72.32

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Solution

The fourth proportional to 106.42, 146.90 and 72.32 is: 99.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.42 : 146.90 = 72.32 : x
  2. Step 2: Convert to fraction form
    106.42/146.90 = 72.32/x
  3. Step 3: Cross multiply
    106.42x = 146.90 × 72.32
  4. Step 4: Simplify right side
    106.42x = 10,623.81
  5. Step 5: Solve for x
    x = 10,623.81/106.42
  6. Step 6: Final answer
    x = 99.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.