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Finding the Fourth Proportional to 106.19, 158.63 and 75.52

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Solution

The fourth proportional to 106.19, 158.63 and 75.52 is: 112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.19 : 158.63 = 75.52 : x
  2. Step 2: Convert to fraction form
    106.19/158.63 = 75.52/x
  3. Step 3: Cross multiply
    106.19x = 158.63 × 75.52
  4. Step 4: Simplify right side
    106.19x = 11,979.53
  5. Step 5: Solve for x
    x = 11,979.53/106.19
  6. Step 6: Final answer
    x = 112.81

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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.