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Finding the Fourth Proportional to 106.16, 158.36 and 101.56

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Solution

The fourth proportional to 106.16, 158.36 and 101.56 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.16 : 158.36 = 101.56 : x
  2. Step 2: Convert to fraction form
    106.16/158.36 = 101.56/x
  3. Step 3: Cross multiply
    106.16x = 158.36 × 101.56
  4. Step 4: Simplify right side
    106.16x = 16,083.04
  5. Step 5: Solve for x
    x = 16,083.04/106.16
  6. Step 6: Final answer
    x = 151.50

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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.